513909315 has 24 divisors (see below), whose sum is σ = 892876608. Its totient is φ = 273438720.

The previous prime is 513909307. The next prime is 513909343.

513909315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513909315 - 2³ = 513909307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513909315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6147 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (37203192).

Almost surely, 2^513909315 is an apocalyptic number.

513909315 is a deficient number, since it is larger than the sum of its proper divisors (378967293).

513909315 is a wasteful number, since it uses less digits than its factorization.

513909315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26939 (or 26936 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 513909315 is about 22669.5680373491. The cubic root of 513909315 is about 800.9932013245.

The spelling of 513909315 in words is "five hundred thirteen million, nine hundred nine thousand, three hundred fifteen".