25200252 has 72 divisors (see below), whose sum is σ = 79427712. Its totient is φ = 6544800.

The previous prime is 25200233. The next prime is 25200269.

25200252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774 + ... + 7317.

Almost surely, 2^25200252 is an apocalyptic number.

25200252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25200252 is an abundant number, since it is smaller than the sum of its proper divisors (54227460).

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

25200252 is a wasteful number, since it uses less digits than its factorization.

25200252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 25200252 is about 5019.9852589425. The cubic root of 25200252 is about 293.1804190372.

It can be divided in two parts, 25200 and 252, that multiplied together give a square (6350400 = 2520²).

The spelling of 25200252 in words is "twenty-five million, two hundred thousand, two hundred fifty-two".