252001616 has 40 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 119964416.

The previous prime is 252001613. The next prime is 252001637. The reversal of 252001616 is 616100252.

It is a super-2 number, since 2×252001616² = 127009628933222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 252001591 and 252001600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001613) 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 7 ways as a sum of consecutive naturals, for example, 84275 + ... + 87213.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^252001616 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 252001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

252001616 is an abundant number, since it is smaller than the sum of its proper divisors (259840624).

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

252001616 is a wasteful number, since it uses less digits than its factorization.

252001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 252001616 is about 15874.5587655216. The cubic root of 252001616 is about 631.6373099264.

Adding to 252001616 its reverse (616100252), we get a palindrome (868101868).

The spelling of 252001616 in words is "two hundred fifty-two million, one thousand, six hundred sixteen".