252002562616 has 64 divisors (see below), whose sum is σ = 552752513280. Its totient is φ = 105453411840.

The previous prime is 252002562607. The next prime is 252002562629. The reversal of 252002562616 is 616265200252.

252002562616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252002562616³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7730271 + ... + 7762801.

It is an arithmetic number, because the mean of its divisors is an integer number (8636758020).

Almost surely, 2^252002562616 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 252002562616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276376256640).

252002562616 is an abundant number, since it is smaller than the sum of its proper divisors (300749950664).

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

252002562616 is a wasteful number, since it uses less digits than its factorization.

252002562616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35804 (or 35800 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 252002562616 its reverse (616265200252), we get a palindrome (868267762868).

The spelling of 252002562616 in words is "two hundred fifty-two billion, two million, five hundred sixty-two thousand, six hundred sixteen".