513323315 has 16 divisors (see below), whose sum is σ = 644150016. Its totient is φ = 391960800.

The previous prime is 513323299. The next prime is 513323329.

513323315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513323315 - 2⁴ = 513323299 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51920 + ... + 61010.

It is an arithmetic number, because the mean of its divisors is an integer number (40259376).

Almost surely, 2^513323315 is an apocalyptic number.

513323315 is a deficient number, since it is larger than the sum of its proper divisors (130826701).

513323315 is a wasteful number, since it uses less digits than its factorization.

513323315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610.

The product of its digits is 4050, while the sum is 26.

The square root of 513323315 is about 22656.6395345824. The cubic root of 513323315 is about 800.6886336221.

The spelling of 513323315 in words is "five hundred thirteen million, three hundred twenty-three thousand, three hundred fifteen".