513321123315 has 256 divisors, whose sum is σ = 1175138979840. Its totient is φ = 184140103680.

The previous prime is 513321123299. The next prime is 513321123323.

513321123315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513321123315 - 2⁴ = 513321123299 is a prime.

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 255 ways as a sum of consecutive naturals, for example, 40068631 + ... + 40081439.

It is an arithmetic number, because the mean of its divisors is an integer number (4590386640).

Almost surely, 2^513321123315 is an apocalyptic number.

513321123315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513321123315 is an abundant number, since it is smaller than the sum of its proper divisors (661817856525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513321123315 is a wasteful number, since it uses less digits than its factorization.

513321123315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 513321 and 123315, that added together give a palindrome (636636).

The spelling of 513321123315 in words is "five hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred fifteen".