53325 has 24 divisors (see below), whose sum is σ = 99200. Its totient is φ = 28080.

The previous prime is 53323. The next prime is 53327. The reversal of 53325 is 52335.

53325 = 4³ + 5³ + ... + 21³.

It is an interprime number because it is at equal distance from previous prime (53323) and next prime (53327).

It is not a de Polignac number, because 53325 - 2¹ = 53323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53298 and 53307.

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 53325.

It is not an unprimeable number, because it can be changed into a prime (53323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 636 + ... + 714.

2⁵³³²⁵ is an apocalyptic number.

It is an amenable number.

53325 is a deficient number, since it is larger than the sum of its proper divisors (45875).

53325 is a wasteful number, since it uses less digits than its factorization.

53325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53325 is about 230.9220647751. The cubic root of 53325 is about 37.6394805614.

Subtracting from 53325 its reverse (52335), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 53 and 325, that added together give a triangular number (378 = T₂₇).

The spelling of 53325 in words is "fifty-three thousand, three hundred twenty-five".