252881538 has 64 divisors (see below), whose sum is σ = 637012992. Its totient is φ = 65136960.

The previous prime is 252881533. The next prime is 252881543. The reversal of 252881538 is 835188252.

It is an interprime number because it is at equal distance from previous prime (252881533) and next prime (252881543).

It is a super-2 number, since 2×252881538² = 127898144522490888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 252881538.

It is not an unprimeable number, because it can be changed into a prime (252881533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18093 + ... + 28863.

It is an arithmetic number, because the mean of its divisors is an integer number (9953328).

Almost surely, 2^252881538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252881538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318506496).

252881538 is an abundant number, since it is smaller than the sum of its proper divisors (384131454).

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

252881538 is a wasteful number, since it uses less digits than its factorization.

252881538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839.

The product of its digits is 153600, while the sum is 42.

The square root of 252881538 is about 15902.2494635193. The cubic root of 252881538 is about 632.3716252245.

The spelling of 252881538 in words is "two hundred fifty-two million, eight hundred eighty-one thousand, five hundred thirty-eight".