The fallacy here is that, if you buy 500 tickets and I buy 1 ticket, you have a 500 times better chance of winning than I do. But that's not the way it works. Your chance of winning is 1 in 175,000,000. 500 chances in 175,000,000 is statistically an insignificant difference from 1 in 175,000,000.
Put five bucks down and save the other $495.
The difference may be statistically insignificant—but the difference is still there. The odds are 500 times greater than if you bought just one ticket.