513385525 has 12 divisors (see below), whose sum is σ = 642904164. Its totient is φ = 406640000.

The previous prime is 513385493. The next prime is 513385541. The reversal of 513385525 is 525583315.

It can be written as a sum of positive squares in 6 ways, for example, as 40844881 + 472540644 = 6391^2 + 21738^2 .

It is not a de Polignac number, because 513385525 - 2⁵ = 513385493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99136 + ... + 104185.

It is an arithmetic number, because the mean of its divisors is an integer number (53575347).

Almost surely, 2^513385525 is an apocalyptic number.

It is an amenable number.

513385525 is a deficient number, since it is larger than the sum of its proper divisors (129518639).

513385525 is a wasteful number, since it uses less digits than its factorization.

513385525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203432 (or 203427 counting only the distinct ones).

The product of its digits is 90000, while the sum is 37.

The square root of 513385525 is about 22658.0123797300. The cubic root of 513385525 is about 800.7209776480.

The spelling of 513385525 in words is "five hundred thirteen million, three hundred eighty-five thousand, five hundred twenty-five".