25300 has 36 divisors (see below), whose sum is σ = 62496. Its totient is φ = 8800.

The previous prime is 25261. The next prime is 25301. The reversal of 25300 is 352.

25300 = 10² + 11² + ... + 42².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1089 + ... + 1111.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2²⁵³⁰⁰ is an apocalyptic number.

25300 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 25300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

25300 is an abundant number, since it is smaller than the sum of its proper divisors (37196).

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

25300 is a wasteful number, since it uses less digits than its factorization.

25300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 25300 is about 159.0597372059. The cubic root of 25300 is about 29.3566733430.

Adding to 25300 its reverse (352), we get a palindrome (25652).

It can be divided in two parts, 25 and 300, that added together give a triangular number (325 = T₂₅).

The spelling of 25300 in words is "twenty-five thousand, three hundred".