When you say 500 plus, do you mean for target shooting? That'll depend on the kind of target shooting, but .223 will do. Isn't the best, but it is used. A .308 is way better.
Under normal circumstances, hunting shots at those distances are not a good idea. Usually, there's not enough remaining energy. And it takes a lot more skill to hit the fabled 9" pie plate.
And like jmr40 says, 500 is long, short range. Long range starts at 600. As daft as that sounds. Target bulls get bigger at 600.