503312222213305 has 24 divisors (see below), whose sum is σ = 675360490524480. Its totient is φ = 359018996878080.

The previous prime is 503312222213257. The next prime is 503312222213357.

503312222213305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 503312222213305 - 2¹⁷ = 503312222082233 is a prime.

It is a super-2 number, since 2×503312222213305² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9166102981 + ... + 9166157890.

It is an arithmetic number, because the mean of its divisors is an integer number (28140020438520).

Almost surely, 2^{503312222213305} is an apocalyptic number.

It is an amenable number.

503312222213305 is a deficient number, since it is larger than the sum of its proper divisors (172048268311175).

503312222213305 is a wasteful number, since it uses less digits than its factorization.

503312222213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332260929 (or 18332260912 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 503312222213305 in words is "five hundred three trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred five".