25225200 has 540 divisors, whose sum is σ = 119632968. Its totient is φ = 4838400.

The previous prime is 25225177. The next prime is 25225201. The reversal of 25225200 is 252252.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25225201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1940394 + ... + 1940406.

Almost surely, 2^25225200 is an apocalyptic number.

25225200 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 25225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816484).

25225200 is an abundant number, since it is smaller than the sum of its proper divisors (94407768).

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

25225200 is a wasteful number, since it uses less digits than its factorization.

25225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

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

The square root of 25225200 is about 5022.4695121026. The cubic root of 25225200 is about 293.2771356988.

Adding to 25225200 its reverse (252252), we get a palindrome (25477452).

Multiplying 25225200 by its reverse (252252), we get a square (6363107150400 = 2522520²).

25225200 divided by its reverse (252252) gives a square (100 = 10²).

It can be divided in two parts, 25225 and 200, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 25225200 in words is "twenty-five million, two hundred twenty-five thousand, two hundred".