525625 has 15 divisors (see below), whose sum is σ = 680251. Its totient is φ = 406000.

The previous prime is 525607. The next prime is 525641. The reversal of 525625 is 526525.

The square root of 525625 is 725.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 393129 + 132496 = 627^2 + 364^2 .

It is not a de Polignac number, because 525625 - 2⁵ = 525593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 525625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18111 + ... + 18139.

525625 is a Friedman number, since it can be written as (5*(6*5^2-5))^2, using all its digits and the basic arithmetic operations.

2⁵²⁵⁶²⁵ is an apocalyptic number.

525625 is the 725-th square number.

525625 is the 363-rd centered octagonal number.

It is an amenable number.

525625 is a deficient number, since it is larger than the sum of its proper divisors (154626).

525625 is an frugal number, since it uses more digits than its factorization.

525625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The cubic root of 525625 is about 80.7034320794.

Multiplying 525625 by its sum of digits (25), we get a square (13140625 = 3625²).

525625 divided by its sum of digits (25) gives a square (21025 = 145²).

Subtracting 525625 from its reverse (526525), we obtain a square (900 = 30²).

The spelling of 525625 in words is "five hundred twenty-five thousand, six hundred twenty-five".