513386325 has 18 divisors (see below), whose sum is σ = 919532354. Its totient is φ = 273805920.

The previous prime is 513386273. The next prime is 513386351. The reversal of 513386325 is 523683315.

513386325 is a `hidden beast` number, since 5 + 13 + 3 + 8 + 632 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7001316 + 506385009 = 2646^2 + 22503^2 .

It is not a de Polignac number, because 513386325 - 2⁶ = 513386261 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513386325.

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 17 ways as a sum of consecutive naturals, for example, 1140634 + ... + 1141083.

Almost surely, 2^513386325 is an apocalyptic number.

It is an amenable number.

513386325 is a deficient number, since it is larger than the sum of its proper divisors (406146029).

513386325 is a wasteful number, since it uses less digits than its factorization.

513386325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281733 (or 2281725 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 513386325 is about 22658.0300335223. The cubic root of 513386325 is about 800.7213935645.

The spelling of 513386325 in words is "five hundred thirteen million, three hundred eighty-six thousand, three hundred twenty-five".