252540032 has 64 divisors (see below), whose sum is σ = 545292000. Its totient is φ = 116035584.

The previous prime is 252540017. The next prime is 252540047. The reversal of 252540032 is 230045252.

It is an interprime number because it is at equal distance from previous prime (252540017) and next prime (252540047).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×252540032³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92219 + ... + 94917.

Almost surely, 2^252540032 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 252540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272646000).

252540032 is an abundant number, since it is smaller than the sum of its proper divisors (292751968).

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

252540032 is a wasteful number, since it uses less digits than its factorization.

252540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 252540032 is about 15891.5081726059. The cubic root of 252540032 is about 632.0868331260.

Adding to 252540032 its reverse (230045252), we get a palindrome (482585284).

The spelling of 252540032 in words is "two hundred fifty-two million, five hundred forty thousand, thirty-two".