513688525 has 24 divisors (see below), whose sum is σ = 735202944. Its totient is φ = 348744000.

The previous prime is 513688481. The next prime is 513688529. The reversal of 513688525 is 525886315.

513688525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 513688525 - 2¹¹ = 513686477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513688529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3144 + ... + 32206.

It is an arithmetic number, because the mean of its divisors is an integer number (30633456).

Almost surely, 2^513688525 is an apocalyptic number.

It is an amenable number.

513688525 is a deficient number, since it is larger than the sum of its proper divisors (221514419).

513688525 is a wasteful number, since it uses less digits than its factorization.

513688525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29181 (or 29176 counting only the distinct ones).

The product of its digits is 288000, while the sum is 43.

The square root of 513688525 is about 22664.6977698799. The cubic root of 513688525 is about 800.8784751029.

The spelling of 513688525 in words is "five hundred thirteen million, six hundred eighty-eight thousand, five hundred twenty-five".