952008052681 has 9 divisors (see below), whose sum is σ = 1107445883949. Its totient is φ = 816001048044.

The previous prime is 952008052669. The next prime is 952008052687. The reversal of 952008052681 is 186250800259.

The square root of 952008052681 is 975709.

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

952008052681 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 952008052681 - 2²⁹ = 951471181769 is a prime.

It is a super-2 number, since 2×952008052681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (952008052687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6760270 + ... + 6899656.

It is an arithmetic number, because the mean of its divisors is an integer number (123049542661).

Almost surely, 2^952008052681 is an apocalyptic number.

952008052681 is the 975709-th square number.

952008052681 is the 487855-th centered octagonal number.

It is an amenable number.

952008052681 is a deficient number, since it is larger than the sum of its proper divisors (155437831268).

952008052681 is an frugal number, since it uses more digits than its factorization.

952008052681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278788 (or 139394 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 952008052681 in words is "nine hundred fifty-two billion, eight million, fifty-two thousand, six hundred eighty-one".