At least .501", I'd order as big as it will chamber, doing a chamber cast would tell you(see FAQs), my 500S&W Handi shot .501" jacketed(385gr Rems) just fine, .502" cast would be even better than .501" if it will cast that big. Most jacketed .500" bullets I've measured are undersize at .499", my bore is on the large side of SAAMI specs, so larger cast would be advised.
Tim