513285815 has 16 divisors (see below), whose sum is σ = 704386368. Its totient is φ = 351741696.

The previous prime is 513285809. The next prime is 513285827. The reversal of 513285815 is 518582315.

It is a cyclic number.

It is not a de Polignac number, because 513285815 - 2¹⁴ = 513269431 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 65339 + ... + 72771.

It is an arithmetic number, because the mean of its divisors is an integer number (44024148).

Almost surely, 2^513285815 is an apocalyptic number.

513285815 is a deficient number, since it is larger than the sum of its proper divisors (191100553).

513285815 is a wasteful number, since it uses less digits than its factorization.

513285815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418.

The product of its digits is 48000, while the sum is 38.

The square root of 513285815 is about 22655.8119474893. The cubic root of 513285815 is about 800.6691354786.

The spelling of 513285815 in words is "five hundred thirteen million, two hundred eighty-five thousand, eight hundred fifteen".