506625 has 32 divisors (see below), whose sum is σ = 968448. Its totient is φ = 230400.

The previous prime is 506609. The next prime is 506629. The reversal of 506625 is 526605.

It is not a de Polignac number, because 506625 - 2⁴ = 506609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506595 and 506604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506625.

It is not an unprimeable number, because it can be changed into a prime (506629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (30264).

2⁵⁰⁶⁶²⁵ is an apocalyptic number.

It is an amenable number.

506625 is a deficient number, since it is larger than the sum of its proper divisors (461823).

506625 is a wasteful number, since it uses less digits than its factorization.

506625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 506625 is about 711.7759478937. The cubic root of 506625 is about 79.7190666941.

The spelling of 506625 in words is "five hundred six thousand, six hundred twenty-five".