503625 has 32 divisors (see below), whose sum is σ = 898560. Its totient is φ = 249600.

The previous prime is 503623. The next prime is 503647. The reversal of 503625 is 526305.

503625 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 503625 - 2¹ = 503623 is a prime.

503625 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503625.

It is not an unprimeable number, because it can be changed into a prime (503621) 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, 6336 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁵⁰³⁶²⁵ is an apocalyptic number.

It is an amenable number.

503625 is a deficient number, since it is larger than the sum of its proper divisors (394935).

503625 is a wasteful number, since it uses less digits than its factorization.

503625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 503625 is about 709.6654141213. The cubic root of 503625 is about 79.5614018738.

It can be divided in two parts, 503 and 625, that added together give a triangular number (1128 = T₄₇).

The spelling of 503625 in words is "five hundred three thousand, six hundred twenty-five".