252825900 has 72 divisors (see below), whose sum is σ = 745358544. Its totient is φ = 66144000.

The previous prime is 252825889. The next prime is 252825901. The reversal of 252825900 is 9528252.

It is not an unprimeable number, because it can be changed into a prime (252825901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7950 + ... + 23850.

It is an arithmetic number, because the mean of its divisors is an integer number (10352202).

Almost surely, 2^252825900 is an apocalyptic number.

252825900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 15900×15901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372679272).

252825900 is an abundant number, since it is smaller than the sum of its proper divisors (492532644).

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

252825900 is a wasteful number, since it uses less digits than its factorization.

252825900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971 (or 15964 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 252825900 is about 15900.4999921386. The cubic root of 252825900 is about 632.3252445181.

The spelling of 252825900 in words is "two hundred fifty-two million, eight hundred twenty-five thousand, nine hundred".