13525 has 6 divisors (see below), whose sum is σ = 16802. Its totient is φ = 10800.

The previous prime is 13523. The next prime is 13537. The reversal of 13525 is 52531.

It can be written as a sum of positive squares in 3 ways, for example, as 529 + 12996 = 23^2 + 114^2 .

It is not a de Polignac number, because 13525 - 2¹ = 13523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13499 and 13508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246 + ... + 295.

2¹³⁵²⁵ is an apocalyptic number.

It is an amenable number.

13525 is a deficient number, since it is larger than the sum of its proper divisors (3277).

13525 is an equidigital number, since it uses as much as digits as its factorization.

13525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 13525 is about 116.2970334961. The cubic root of 13525 is about 23.8257048738.

It can be divided in two parts, 135 and 25, that multiplied together give a cube (3375 = 15³).

The spelling of 13525 in words is "thirteen thousand, five hundred twenty-five".