513665625 has 96 divisors (see below), whose sum is σ = 992186496. Its totient is φ = 233600000.

The previous prime is 513665587. The next prime is 513665639. The reversal of 513665625 is 526566315.

It is not a de Polignac number, because 513665625 - 2¹⁶ = 513600089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1752979 + ... + 1753271.

It is an arithmetic number, because the mean of its divisors is an integer number (10335276).

Almost surely, 2^513665625 is an apocalyptic number.

513665625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513665625 is a deficient number, since it is larger than the sum of its proper divisors (478520871).

513665625 is a wasteful number, since it uses less digits than its factorization.

513665625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 513665625 is about 22664.1925733082. The cubic root of 513665625 is about 800.8665739938.

The spelling of 513665625 in words is "five hundred thirteen million, six hundred sixty-five thousand, six hundred twenty-five".