512525 has 24 divisors (see below), whose sum is σ = 729120. Its totient is φ = 354240.

The previous prime is 512521. The next prime is 512531. The reversal of 512525 is 525215.

512525 = 131² + 132² + ... + 155².

It is not a de Polignac number, because 512525 - 2² = 512521 is a prime.

Its product of digits (500) is a multiple of the sum of its prime factors (125).

It is a junction number, because it is equal to n+sod(n) for n = 512497 and 512506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512525.

It is not an unprimeable number, because it can be changed into a prime (512521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6134 + ... + 6216.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁵¹²⁵²⁵ is an apocalyptic number.

It is an amenable number.

512525 is a deficient number, since it is larger than the sum of its proper divisors (216595).

512525 is a wasteful number, since it uses less digits than its factorization.

512525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 500, while the sum is 20.

The square root of 512525 is about 715.9085137083. The cubic root of 512525 is about 80.0273344093.

The spelling of 512525 in words is "five hundred twelve thousand, five hundred twenty-five".