252135016 has 64 divisors (see below), whose sum is σ = 593510400. Its totient is φ = 97910208.

The previous prime is 252135011. The next prime is 252135031. The reversal of 252135016 is 610531252.

It is not an unprimeable number, because it can be changed into a prime (252135011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19321 + ... + 29623.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2^252135016 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 252135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296755200).

252135016 is an abundant number, since it is smaller than the sum of its proper divisors (341375384).

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

252135016 is a wasteful number, since it uses less digits than its factorization.

252135016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 252135016 is about 15878.7599012014. The cubic root of 252135016 is about 631.7487451290.

Adding to 252135016 its reverse (610531252), we get a palindrome (862666268).

The spelling of 252135016 in words is "two hundred fifty-two million, one hundred thirty-five thousand, sixteen".