252193536 has 216 divisors, whose sum is σ = 875813120. Its totient is φ = 68179968.

The previous prime is 252193531. The next prime is 252193537. The reversal of 252193536 is 635391252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252193536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252193531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306021 + ... + 306843.

Almost surely, 2^252193536 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 252193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437906560).

252193536 is an abundant number, since it is smaller than the sum of its proper divisors (623619584).

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

252193536 is a wasteful number, since it uses less digits than its factorization.

252193536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 252193536 is about 15880.6025074617. The cubic root of 252193536 is about 631.7976171941.

The spelling of 252193536 in words is "two hundred fifty-two million, one hundred ninety-three thousand, five hundred thirty-six".