252137016 has 64 divisors (see below), whose sum is σ = 702240000. Its totient is φ = 83822688.

The previous prime is 252136967. The next prime is 252137023. The reversal of 252137016 is 610731252.

It is a happy number.

252137016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93495 + ... + 96153.

It is an arithmetic number, because the mean of its divisors is an integer number (10972500).

Almost surely, 2^252137016 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 252137016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351120000).

252137016 is an abundant number, since it is smaller than the sum of its proper divisors (450102984).

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

252137016 is a wasteful number, since it uses less digits than its factorization.

252137016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 252137016 is about 15878.8228782867. The cubic root of 252137016 is about 631.7504155226.

Adding to 252137016 its reverse (610731252), we get a palindrome (862868268).

The spelling of 252137016 in words is "two hundred fifty-two million, one hundred thirty-seven thousand, sixteen".