No, that's not the price for one ticket. In fact, you can buy 200 tickets for 0.05 BTC.

If you have something on your balance, you can just go to GOLDEN TICKET section, scroll down to this:



and purchase 1 ticket for 25k sats. That's what I did when the lottery only started, and my win chance, if I remember correctly, was around 0.05% at first. Today my win chance is 0.00001910%, but I'm not losing hope. After all, only if you have zero tickets you can be absolutely sure that you won't win.