513352253315 has 16 divisors (see below), whose sum is σ = 674909011296. Its totient is φ = 371744736000.

The previous prime is 513352253303. The next prime is 513352253333.

513352253315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513352253315 - 2²⁰ = 513351204739 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 20016536 + ... + 20042165.

It is an arithmetic number, because the mean of its divisors is an integer number (42181813206).

Almost surely, 2^513352253315 is an apocalyptic number.

513352253315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513352253315 is a deficient number, since it is larger than the sum of its proper divisors (161556757981).

513352253315 is a wasteful number, since it uses less digits than its factorization.

513352253315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40058950.

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 513352 and 253315, that added together give a palindrome (766667).

The spelling of 513352253315 in words is "five hundred thirteen billion, three hundred fifty-two million, two hundred fifty-three thousand, three hundred fifteen".