252050000 has 90 divisors (see below), whose sum is σ = 619112718. Its totient is φ = 99400000.

The previous prime is 252049943. The next prime is 252050021. The reversal of 252050000 is 50252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 116467264 + 135582736 = 10792^2 + 11644^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3549965 + ... + 3550035.

Almost surely, 2^252050000 is an apocalyptic number.

252050000 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 252050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309556359).

252050000 is an abundant number, since it is smaller than the sum of its proper divisors (367062718).

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

252050000 is an frugal number, since it uses more digits than its factorization.

252050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 252050000 is about 15876.0826402485. The cubic root of 252050000 is about 631.6777318681.

The spelling of 252050000 in words is "two hundred fifty-two million, fifty thousand".