52625 has 8 divisors (see below), whose sum is σ = 65832. Its totient is φ = 42000.

The previous prime is 52609. The next prime is 52627.

It is a happy number.

52625 is nontrivially palindromic in base 10.

52625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 37249 = 124^2 + 193^2 .

It is not a de Polignac number, because 52625 - 2⁴ = 52609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52597 and 52606.

It is not an unprimeable number, because it can be changed into a prime (52627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (8229).

2⁵²⁶²⁵ is an apocalyptic number.

It is an amenable number.

52625 is a deficient number, since it is larger than the sum of its proper divisors (13207).

52625 is an equidigital number, since it uses as much as digits as its factorization.

52625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 52625 is about 229.4013949391. The cubic root of 52625 is about 37.4740561293.

Subtracting from 52625 its product of digits (600), we obtain a palindrome (52025).

The spelling of 52625 in words is "fifty-two thousand, six hundred twenty-five".