513301103315 has 48 divisors (see below), whose sum is σ = 831569193216. Its totient is φ = 295366032000.

The previous prime is 513301103309. The next prime is 513301103321.

513301103315 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (513301103309) and next prime (513301103321).

It is not a de Polignac number, because 513301103315 - 2³² = 509006136019 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3879461 + ... + 4009590.

It is an arithmetic number, because the mean of its divisors is an integer number (17324358192).

Almost surely, 2^513301103315 is an apocalyptic number.

513301103315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513301103315 is a deficient number, since it is larger than the sum of its proper divisors (318268089901).

513301103315 is a wasteful number, since it uses less digits than its factorization.

513301103315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889100 (or 7889087 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

It can be divided in two parts, 513301 and 103315, that added together give a palindrome (616616).

The spelling of 513301103315 in words is "five hundred thirteen billion, three hundred one million, one hundred three thousand, three hundred fifteen".