52925 has 12 divisors (see below), whose sum is σ = 68820. Its totient is φ = 40320.

The previous prime is 52919. The next prime is 52937.

It is a happy number.

52925 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 484 + 52441 = 22^2 + 229^2 .

It is not a de Polignac number, because 52925 - 2⁶ = 52861 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52925.

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 52925.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (5735).

2⁵²⁹²⁵ is an apocalyptic number.

It is an amenable number.

52925 is a deficient number, since it is larger than the sum of its proper divisors (15895).

52925 is a wasteful number, since it uses less digits than its factorization.

52925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 52925 is about 230.0543414065. The cubic root of 52925 is about 37.5451308489.

Subtracting from 52925 its product of digits (900), we obtain a palindrome (52025).

It can be divided in two parts, 529 and 25, that multiplied together give a square (13225 = 115²).

The spelling of 52925 in words is "fifty-two thousand, nine hundred twenty-five".