513131315 has 16 divisors (see below), whose sum is σ = 659842848. Its totient is φ = 381697536.

The previous prime is 513131303. The next prime is 513131317.

513131315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513131315 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513131317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29312 + ... + 43421.

It is an arithmetic number, because the mean of its divisors is an integer number (41240178).

Almost surely, 2^513131315 is an apocalyptic number.

513131315 is a deficient number, since it is larger than the sum of its proper divisors (146711533).

513131315 is a wasteful number, since it uses less digits than its factorization.

513131315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72838.

The product of its digits is 675, while the sum is 23.

The square root of 513131315 is about 22652.4019697691. The cubic root of 513131315 is about 800.5887931095.

The spelling of 513131315 in words is "five hundred thirteen million, one hundred thirty-one thousand, three hundred fifteen".