25575 has 24 divisors (see below), whose sum is σ = 47616. Its totient is φ = 12000.

The previous prime is 25561. The next prime is 25577. The reversal of 25575 is 57552.

25575 = 23² + 24² + ... + 44².

It is not a de Polignac number, because 25575 - 2⁷ = 25447 is a prime.

Its product of digits (1750) is a multiple of the sum of its prime divisors (50).

It is a nialpdrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2²⁵⁵⁷⁵ is an apocalyptic number.

25575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25575 is a deficient number, since it is larger than the sum of its proper divisors (22041).

25575 is a wasteful number, since it uses less digits than its factorization.

25575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 50 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 25575 is about 159.9218559172. The cubic root of 25575 is about 29.4626550324.

The spelling of 25575 in words is "twenty-five thousand, five hundred seventy-five".