Zinc/air button cell comprising a housing which is closed in a liquid-tight fashion and is composed of • a cell cup, • a cell cover, and • a seal, which enclose an internal space in which a zinc anode and an air cathode are arranged separated by a separator, wherein • the cell cup has a base, a hollow-cylindrical lateral area, a junction area which connects the base and the lateral area, and an annular edge area which defines an opening, • the base, the lateral area, the edge area and the junction area of the cell cup each have an inner side which points into the interior space and an outer side which points in the opposite direction, • the cell cover has a base, an annular edge area and a junction area which connects the base and the edge area, • the base, the edge area and the junction area of the cell cover each have an inner side which points into the interior space and an outer side which points in the opposite direction, • the base of the cell cup has at least one breakthrough through which atmospheric oxygen can enter the interior space of the housing, • the air cathode and the separator are arranged in the form of thin layers on the inner side of the base of the cell cup, • the seal comprises a hollow-cylindrical casing which bears against the inner side of the lateral area of the cell cup and is bound over at the end face of an upper annular sealing edge pointing away from the base and a lower annular sealing edge pointing in the direction of the base, and • the upper annular sealing edge has an annular gap, and wherein • the cell cover including the edge area is embodied with a single wall, • the edge area comprises an end cutting edge, • the edge area of the cell cover is bent over radially towards the outside so that it forms a free-standing, circular-ringshaped area which has a radial extent and whose outer edge is formed by the cutting edge, • the edge area of the cell cover is inserted with the cutting edge at the front into the annular gap in the upper sealing edge, • the edge area of the cell cup is bent over radially inwards in order to close the cell, • the housing is divided into two annular single-walled end segments (h1, h3) in the axial direction between the bases (101a, 102a) and into an annular, double-walled segment which is arranged centrally between said segments (h1, h3), and • the double-walled segment contributes less than 20% to the height of the cell. • a cell cup, • a cell cover, and • a seal, • the cell cup has a base, a hollow-cylindrical lateral area, a junction area which connects the base and the lateral area, and an annular edge area which defines an opening, • the base, the lateral area, the edge area and the junction area of the cell cup each have an inner side which points into the interior space and an outer side which points in the opposite direction, • the cell cover has a base, an annular edge area and a junction area which connects the base and the edge area, • the base, the edge area and the junction area of the cell cover each have an inner side which points into the interior space and an outer side which points in the opposite direction, • the base of the cell cup has at least one breakthrough through which atmospheric oxygen can enter the interior space of the housing, • the air cathode and the separator are arranged in the form of thin layers on the inner side of the base of the cell cup, • the seal comprises a hollow-cylindrical casing which bears against the inner side of the lateral area of the cell cup and is bound over at the end face of an upper annular sealing edge pointing away from the base and a lower annular sealing edge pointing in the direction of the base, and • the upper annular sealing edge has an annular gap, • the cell cover including the edge area is embodied with a single wall, • the edge area comprises an end cutting edge, • the edge area of the cell cover is bent over radially towards the outside so that it forms a free-standing, circular-ringshaped area which has a radial extent and whose outer edge is formed by the cutting edge, • the edge area of the cell cover is inserted with the cutting edge at the front into the annular gap in the upper sealing edge, • the edge area of the cell cup is bent over radially inwards in order to close the cell, • the housing is divided into two annular single-walled end segments (h1, h3) in the axial direction between the bases (101a, 102a) and into an annular, double-walled segment which is arranged centrally between said segments (h1, h3), and • the double-walled segment contributes less than 20% to the height of the cell.