513131515 has 16 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 378646272.

The previous prime is 513131501. The next prime is 513131551. The reversal of 513131515 is 515131315.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 513131515 - 2⁵ = 513131483 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513131515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133896 + ... + 137674.

It is an arithmetic number, because the mean of its divisors is an integer number (41476050).

Almost surely, 2^513131515 is an apocalyptic number.

513131515 is a deficient number, since it is larger than the sum of its proper divisors (150485285).

513131515 is a wasteful number, since it uses less digits than its factorization.

513131515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886.

The product of its digits is 1125, while the sum is 25.

The square root of 513131515 is about 22652.4063843116. The cubic root of 513131515 is about 800.5888971230.

The spelling of 513131515 in words is "five hundred thirteen million, one hundred thirty-one thousand, five hundred fifteen".