A rolled wire rod consisting of, as a chemical component, by mass%: C: 0.95% to 1.10%; Si: 0.10% to 0.70%; Mn: 0.20% to 1.20%; Cr: 0.90% to 1.60%, optionally any one kind or both kinds of: Mo: more than 0% and equal to or less than 0.25%; and B: more than 0% and equal to or less than 0.0025% and the balance consisting of Fe and unavoidable impurities, wherein a metallographic structure of the rolled wire rod includes, by an area ratio, 90% to 100% of pearlite, 0% to 5% of proeutectoid cementite, and 0% to 10% of degenerate pearlite having granular cementite, an average size of a pearlite block of the pearlite is 1.0 μm to 15 μm and a maximum size of the pearlite block is 1 to 4 times the average size, and wherein a tensile strength of the rolled wire rod in a unit of MPa is equal to or less than a TS1 of an upper limit of a strength shown in the following Expression 1: TS 1 = 1500 × 1 − 0.5 × ln D 0 / 5.5 − 150 × exp d p / 15 − 1 − 120 × exp A θ/ 5 − 1 − 80 × exp A p ' / 10 − 1 where D 0 represents a wire size of the rolled wire rod in a unit of mm, d p represents the average size of the pearlite block in a unit of μm, A θ represents an area ratio of the proeutectoid cementite in a unit of %, and A p ' represents an area ratio of the degenerate pearlite in a unit of %. C: 0.95% to 1.10%; Si: 0.10% to 0.70%; Mn: 0.20% to 1.20%; Cr: 0.90% to 1.60%, optionally any one kind or both kinds of: Mo: more than 0% and equal to or less than 0.25%; and B: more than 0% and equal to or less than 0.0025% and the balance consisting of Fe and unavoidable impurities, wherein a metallographic structure of the rolled wire rod includes, by an area ratio, 90% to 100% of pearlite, 0% to 5% of proeutectoid cementite, and 0% to 10% of degenerate pearlite having granular cementite, an average size of a pearlite block of the pearlite is 1.0 μm to 15 μm and a maximum size of the pearlite block is 1 to 4 times the average size, and wherein a tensile strength of the rolled wire rod in a unit of MPa is equal to or less than a TS1 of an upper limit of a strength shown in the following Expression 1: TS 1 = 1500 × 1 − 0.5 × ln D 0 / 5.5 − 150 × exp d p / 15 − 1 − 120 × exp A θ/ 5 − 1 − 80 × exp A p ' / 10 − 1 where D 0 represents a wire size of the rolled wire rod in a unit of mm, d p represents the average size of the pearlite block in a unit of μm, A θ represents an area ratio of the proeutectoid cementite in a unit of %, and A p ' represents an area ratio of the degenerate pearlite in a unit of %. wherein a metallographic structure of the rolled wire rod includes, by an area ratio, 90% to 100% of pearlite, 0% to 5% of proeutectoid cementite, and 0% to 10% of degenerate pearlite having granular cementite, an average size of a pearlite block of the pearlite is 1.0 μm to 15 μm and a maximum size of the pearlite block is 1 to 4 times the average size, and wherein a tensile strength of the rolled wire rod in a unit of MPa is equal to or less than a TS1 of an upper limit of a strength shown in the following Expression 1: D 0 represents a wire size of the rolled wire rod in a unit of mm, d p represents the average size of the pearlite block in a unit of μm, A θ represents an area ratio of the proeutectoid cementite in a unit of %, and A p ' represents an area ratio of the degenerate pearlite in a unit of %.