513085925688 has 64 divisors (see below), whose sum is σ = 1466100000000. Its totient is φ = 146581957632.

The previous prime is 513085925659. The next prime is 513085925701. The reversal of 513085925688 is 886529580315.

It is a super-2 number, since 2×513085925688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683688 + ... + 1964936.

It is an arithmetic number, because the mean of its divisors is an integer number (22907812500).

Almost surely, 2^513085925688 is an apocalyptic number.

It is an amenable number.

513085925688 is an abundant number, since it is smaller than the sum of its proper divisors (953014074312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513085925688 is a wasteful number, since it uses less digits than its factorization.

513085925688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292124 (or 292120 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 60.

The spelling of 513085925688 in words is "five hundred thirteen billion, eighty-five million, nine hundred twenty-five thousand, six hundred eighty-eight".