652409982961 has 27 divisors (see below), whose sum is σ = 725539358817. Its totient is φ = 586210141440.

The previous prime is 652409982947. The next prime is 652409982977. The reversal of 652409982961 is 169289904256.

The square root of 652409982961 is 807719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2999643361 + 649410339600 = 54769^2 + 805860^2 .

It is not a de Polignac number, because 652409982961 - 2¹⁵ = 652409950193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 652409982961.

It is not an unprimeable number, because it can be changed into a prime (652409982901) 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, 861835795 + ... + 861836551.

Almost surely, 2^652409982961 is an apocalyptic number.

652409982961 is the 807719-th square number.

652409982961 is the 403860-th centered octagonal number.

It is an amenable number.

652409982961 is a deficient number, since it is larger than the sum of its proper divisors (73129375856).

652409982961 is an frugal number, since it uses more digits than its factorization.

652409982961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 652409982961 in words is "six hundred fifty-two billion, four hundred nine million, nine hundred eighty-two thousand, nine hundred sixty-one".