513121315 has 32 divisors (see below), whose sum is σ = 747648000. Its totient is φ = 330231168.

The previous prime is 513121181. The next prime is 513121321.

513121315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 513121315 - 2¹¹ = 513119267 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68946 + ... + 76024.

It is an arithmetic number, because the mean of its divisors is an integer number (23364000).

Almost surely, 2^513121315 is an apocalyptic number.

513121315 is a deficient number, since it is larger than the sum of its proper divisors (234526685).

513121315 is a wasteful number, since it uses less digits than its factorization.

513121315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219.

The product of its digits is 450, while the sum is 22.

The square root of 513121315 is about 22652.1812415493. The cubic root of 513121315 is about 800.5835924005.

The spelling of 513121315 in words is "five hundred thirteen million, one hundred twenty-one thousand, three hundred fifteen".