25260 has 24 divisors (see below), whose sum is σ = 70896. Its totient is φ = 6720.

The previous prime is 25253. The next prime is 25261. The reversal of 25260 is 6252.

25260 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

25260 is strictly pandigital in base 6.

It is a nialpdrome in base 13 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25260.

It is not an unprimeable number, because it can be changed into a prime (25261) by changing a digit.

It is a nontrivial repunit in base 29.

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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (2954).

2²⁵²⁶⁰ is an apocalyptic number.

25260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25260 is an abundant number, since it is smaller than the sum of its proper divisors (45636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448).

25260 is a wasteful number, since it uses less digits than its factorization.

25260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 25260 is about 158.9339485447. The cubic root of 25260 is about 29.3411939448.

The spelling of 25260 in words is "twenty-five thousand, two hundred sixty".