252503008 has 48 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 117562752.

The previous prime is 252503003. The next prime is 252503021. The reversal of 252503008 is 800305252.

252503008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (252503003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32353 + ... + 39391.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2^252503008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252503008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

252503008 is an abundant number, since it is smaller than the sum of its proper divisors (279720992).

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

252503008 is a wasteful number, since it uses less digits than its factorization.

252503008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 252503008 is about 15890.3432310319. The cubic root of 252503008 is about 632.0559422787.

The spelling of 252503008 in words is "two hundred fifty-two million, five hundred three thousand, eight".