Equipment for removing paper from parent reels used for the production of paper logs of paper material, comprising a support system adapted to support an exhausted parent reel, wherein the exhausted parent reel comprises a tubular core on which residual paper to be removed is wound, and comprising removal means for removing the residual paper from said core when the exhausted parent reel is placed on said support system, characterized in that said removal means comprise: - a base structure on which, along a horizontal axis, is mounted a suction cylinder having an outer surface perforated and communicating with an internal cavity that, in turn, is connected to a suction unit adapted to produce a depression inside the cylinder, whereby said depression is transmitted to the outer surface of the cylinder; - an actuator that determines the rotation of the cylinder around said axis with a predetermined angular speed and direction of rotation, in that said support system is adapted to support the exhausted parent reel parallel to the said cylinder; in that it comprises means for adjusting the distance between said support system and said cylinder, to allow contact between the cylinder and the exhausted parent reel in a phase of removal of the residual paper; - detection means for detecting the instantaneous diameter of the exhausted parent reel placed on the support system; - a control unit connected to said detection means and adapted to control the actuator which determines the rotation of the cylinder as a function of the instantaneous diameter of the exhausted parent reel detected by the detection means, said control unit being programmed to stop the rotation of the cylinder when the instantaneous diameter of the exhausted parent reel reaches a predetermined minimum value; and in that said rotation of the cylinder and the depression on the outer surface of the same cylinder determine the rotation of the exhausted parent reel and the transfer of the residual paper from the exhausted parent reel to the cylinder when the latter and the exhausted parent reel come into contact. - a base structure on which, along a horizontal axis, is mounted a suction cylinder having an outer surface perforated and communicating with an internal cavity that, in turn, is connected to a suction unit adapted to produce a depression inside the cylinder, whereby said depression is transmitted to the outer surface of the cylinder; - an actuator that determines the rotation of the cylinder around said axis with a predetermined angular speed and direction of rotation, in that said support system is adapted to support the exhausted parent reel parallel to the said cylinder; in that it comprises means for adjusting the distance between said support system and said cylinder, to allow contact between the cylinder and the exhausted parent reel in a phase of removal of the residual paper; - detection means for detecting the instantaneous diameter of the exhausted parent reel placed on the support system; - a control unit connected to said detection means and adapted to control the actuator which determines the rotation of the cylinder as a function of the instantaneous diameter of the exhausted parent reel detected by the detection means, said control unit being programmed to stop the rotation of the cylinder when the instantaneous diameter of the exhausted parent reel reaches a predetermined minimum value; and in that said rotation of the cylinder and the depression on the outer surface of the same cylinder determine the rotation of the exhausted parent reel and the transfer of the residual paper from the exhausted parent reel to the cylinder when the latter and the exhausted parent reel come into contact.