The mass of the photon is zero. The end.
Relativistic mass is a hazardous concept, and many authors refuse to use it. AcceptingIt makes the concept implies, for example, that if you stand on a weighing machine connected to a bomb that blows up if your weight exceeds 100kg, and you'reincrease in a uniform gravitational field, you'll eventually blow upkinetic energy of an object with velocity appear to be connected with some change in the lab frame as you accelerate. That obviously contradicts the fact that you'll watch yourself remain intact ininternal structure of the rest frameobject. See also this question on SE.