252083136 has 56 divisors (see below), whose sum is σ = 669395664. Its totient is φ = 83722240.

The previous prime is 252083131. The next prime is 252083141. The reversal of 252083136 is 631380252.

252083136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252083131) and next prime (252083141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252083131) 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, 54016 + ... + 58496.

It is an arithmetic number, because the mean of its divisors is an integer number (11953494).

Almost surely, 2^252083136 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 252083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334697832).

252083136 is an abundant number, since it is smaller than the sum of its proper divisors (417312528).

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

252083136 is a wasteful number, since it uses less digits than its factorization.

252083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 252083136 is about 15877.1261883251. The cubic root of 252083136 is about 631.7054120323.

The spelling of 252083136 in words is "two hundred fifty-two million, eighty-three thousand, one hundred thirty-six".