252615806881 has 9 divisors (see below), whose sum is σ = 256260088273. Its totient is φ = 249022655140.

The previous prime is 252615806869. The next prime is 252615806921. The reversal of 252615806881 is 188608516252.

The square root of 252615806881 is 502609.

It is a perfect power (a square), and thus also a powerful number.

252615806881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252615806881 - 2¹⁵ = 252615774113 is a prime.

It is a super-2 number, since 2×252615806881² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252615806081) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 35681700 + ... + 35688778.

Almost surely, 2^252615806881 is an apocalyptic number.

252615806881 is the 502609-th square number.

252615806881 is the 251305-th centered octagonal number.

It is an amenable number.

252615806881 is a deficient number, since it is larger than the sum of its proper divisors (3644281392).

252615806881 is an frugal number, since it uses more digits than its factorization.

252615806881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 52.

The spelling of 252615806881 in words is "two hundred fifty-two billion, six hundred fifteen million, eight hundred six thousand, eight hundred eighty-one".