25125600 has 216 divisors, whose sum is σ = 89291160. Its totient is φ = 6128640.

The previous prime is 25125599. The next prime is 25125613. The reversal of 25125600 is 652152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866386 + ... + 866414.

It is an arithmetic number, because the mean of its divisors is an integer number (413385).

Almost surely, 2^25125600 is an apocalyptic number.

25125600 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 25125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44645580).

25125600 is an abundant number, since it is smaller than the sum of its proper divisors (64165560).

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

25125600 is a wasteful number, since it uses less digits than its factorization.

25125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 25125600 is about 5012.5442641437. The cubic root of 25125600 is about 292.8906315631.

Adding to 25125600 its reverse (652152), we get a palindrome (25777752).

The spelling of 25125600 in words is "twenty-five million, one hundred twenty-five thousand, six hundred".