13025 has 6 divisors (see below), whose sum is σ = 16182. Its totient is φ = 10400.

The previous prime is 13009. The next prime is 13033. The reversal of 13025 is 52031.

13025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 12769 = 16^2 + 113^2 .

It is not a de Polignac number, because 13025 - 2⁴ = 13009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12997 and 13015.

It is an unprimeable number.

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, 236 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (2697).

2¹³⁰²⁵ is an apocalyptic number.

It is an amenable number.

13025 is a deficient number, since it is larger than the sum of its proper divisors (3157).

13025 is an equidigital number, since it uses as much as digits as its factorization.

13025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13025 is about 114.1271221051. The cubic root of 13025 is about 23.5284098838.

Adding to 13025 its reverse (52031), we get a palindrome (65056).

The spelling of 13025 in words is "thirteen thousand, twenty-five".