513525615625 has 48 divisors (see below), whose sum is σ = 702512661312. Its totient is φ = 372249000000.

The previous prime is 513525615613. The next prime is 513525615661. The reversal of 513525615625 is 526516525315.

It is not a de Polignac number, because 513525615625 - 2¹⁷ = 513525484553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10528795 + ... + 10577455.

It is an arithmetic number, because the mean of its divisors is an integer number (14635680444).

Almost surely, 2^513525615625 is an apocalyptic number.

513525615625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513525615625 is a deficient number, since it is larger than the sum of its proper divisors (188987045687).

513525615625 is an equidigital number, since it uses as much as digits as its factorization.

513525615625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49004 (or 48984 counting only the distinct ones).

The product of its digits is 1350000, while the sum is 46.

The spelling of 513525615625 in words is "five hundred thirteen billion, five hundred twenty-five million, six hundred fifteen thousand, six hundred twenty-five".