25500 has 48 divisors (see below), whose sum is σ = 78624. Its totient is φ = 6400.

The previous prime is 25471. The next prime is 25523. The reversal of 25500 is 552.

25500 is nontrivially palindromic in base 9.

25500 is digitally balanced in base 4, 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 (12).

25500 is an undulating number in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

25500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2²⁵⁵⁰⁰ is an apocalyptic number.

25500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

25500 is an abundant number, since it is smaller than the sum of its proper divisors (53124).

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

25500 is a wasteful number, since it uses less digits than its factorization.

25500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 25500 is about 159.6871942267. The cubic root of 25500 is about 29.4338265844.

It can be divided in two parts, 25 and 500, that added together give a palindrome (525).

The spelling of 25500 in words is "twenty-five thousand, five hundred".