FIG. 1 is a top perspective view of a razor handle button showing my new design;

FIG. 2 is a top plan view thereof;

FIG. 3 is a right side elevational view, the left side elevational view being a mirror image thereof;

FIG. 4 is a bottom plan view thereof; and,

FIG. 5 is a front elevational view thereof.

The broken lines showing the razor handle are for illustrative purposes only and form no part of the claimed design.