25252800 has 84 divisors (see below), whose sum is σ = 82865976. Its totient is φ = 6732800.

The previous prime is 25252757. The next prime is 25252811. The reversal of 25252800 is 825252.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2170 + ... + 7430.

Almost surely, 2^25252800 is an apocalyptic number.

25252800 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 25252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41432988).

25252800 is an abundant number, since it is smaller than the sum of its proper divisors (57613176).

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

25252800 is a wasteful number, since it uses less digits than its factorization.

25252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 25252800 is about 5025.2164132503. The cubic root of 25252800 is about 293.3840591798.

The spelling of 25252800 in words is "twenty-five million, two hundred fifty-two thousand, eight hundred".