52325 has 24 divisors (see below), whose sum is σ = 83328. Its totient is φ = 31680.

The previous prime is 52321. The next prime is 52361.

52325 = T₅₀ + T₅₁ + ... + T₇₅.

52325 is nontrivially palindromic in base 10.

52325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52325 - 2² = 52321 is a prime.

It is a d-powerful number, because it can be written as 5⁴ + 2³ + 3⁹ + 2¹⁴ + 5⁶ .

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁵²³²⁵ is an apocalyptic number.

It is an amenable number.

52325 is a deficient number, since it is larger than the sum of its proper divisors (31003).

52325 is a wasteful number, since it uses less digits than its factorization.

52325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 48 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 52325 is about 228.7465846740. The cubic root of 52325 is about 37.4027107761.

Adding to 52325 its product of digits (300), we get a palindrome (52625).

Subtracting from 52325 its product of digits (300), we obtain a palindrome (52025).

It can be divided in two parts, 52 and 325, that multiplied together give a square (16900 = 130²).

The spelling of 52325 in words is "fifty-two thousand, three hundred twenty-five".