53525 has 6 divisors (see below), whose sum is σ = 66402. Its totient is φ = 42800.

The previous prime is 53507. The next prime is 53527. The reversal of 53525 is 52535.

It can be written as a sum of positive squares in 3 ways, for example, as 13924 + 39601 = 118^2 + 199^2 .

It is not a de Polignac number, because 53525 - 2⁸ = 53269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53497 and 53506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53527) 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 5 ways as a sum of consecutive naturals, for example, 1046 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2⁵³⁵²⁵ is an apocalyptic number.

It is an amenable number.

53525 is a deficient number, since it is larger than the sum of its proper divisors (12877).

53525 is a wasteful number, since it uses less digits than its factorization.

53525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its digits is 750, while the sum is 20.

The square root of 53525 is about 231.3547060252. The cubic root of 53525 is about 37.6864785569.

Subtracting from 53525 its reverse (52535), we obtain a triangular number (990 = T₄₄).

The spelling of 53525 in words is "fifty-three thousand, five hundred twenty-five".