952515488961 has 27 divisors (see below), whose sum is σ = 1428819228291. Its totient is φ = 634957623648.

The previous prime is 952515488891. The next prime is 952515488989. The reversal of 952515488961 is 169884515259.

The square root of 952515488961 is 975969.

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

952515488961 is a `hidden beast` number, since 9 + 5 + 2 + 5 + 1 + 548 + 89 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656231226561 + 296284262400 = 810081^2 + 544320^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 952515488961 - 2¹¹ = 952515486913 is a prime.

It is a super-2 number, since 2×952515488961² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (952515408961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79047465 + ... + 79059513.

Almost surely, 2^952515488961 is an apocalyptic number.

952515488961 is the 975969-th square number.

952515488961 is the 487985-th centered octagonal number.

It is an amenable number.

952515488961 is a deficient number, since it is larger than the sum of its proper divisors (476303739330).

952515488961 is an frugal number, since it uses more digits than its factorization.

952515488961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122 (or 12052 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 952515488961 in words is "nine hundred fifty-two billion, five hundred fifteen million, four hundred eighty-eight thousand, nine hundred sixty-one".