513363315 has 8 divisors (see below), whose sum is σ = 821381328. Its totient is φ = 273793760.

The previous prime is 513363239. The next prime is 513363341.

513363315 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513363315 - 2¹⁵ = 513330547 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17112096 + ... + 17112125.

It is an arithmetic number, because the mean of its divisors is an integer number (102672666).

Almost surely, 2^513363315 is an apocalyptic number.

513363315 is a deficient number, since it is larger than the sum of its proper divisors (308018013).

513363315 is a wasteful number, since it uses less digits than its factorization.

513363315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34224229.

The product of its digits is 12150, while the sum is 30.

The square root of 513363315 is about 22657.5222608298. The cubic root of 513363315 is about 800.7094305952.

The spelling of 513363315 in words is "five hundred thirteen million, three hundred sixty-three thousand, three hundred fifteen".