252125200 has 60 divisors (see below), whose sum is σ = 615720388. Its totient is φ = 99187200.

The previous prime is 252125197. The next prime is 252125207. The reversal of 252125200 is 2521252.

It can be written as a sum of positive squares in 6 ways, for example, as 24960016 + 227165184 = 4996^2 + 15072^2 .

It is not an unprimeable number, because it can be changed into a prime (252125207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19234 + ... + 29566.

Almost surely, 2^252125200 is an apocalyptic number.

252125200 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 252125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307860194).

252125200 is an abundant number, since it is smaller than the sum of its proper divisors (363595188).

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

252125200 is a wasteful number, since it uses less digits than its factorization.

252125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 252125200 is about 15878.4508060453. The cubic root of 252125200 is about 631.7405467092.

Adding to 252125200 its reverse (2521252), we get a palindrome (254646452).

Multiplying 252125200 by its reverse (2521252), we get a square (635671164750400 = 25212520²).

252125200 divided by its reverse (2521252) gives a square (100 = 10²).

The spelling of 252125200 in words is "two hundred fifty-two million, one hundred twenty-five thousand, two hundred".