97652560288761 has 9 divisors (see below), whose sum is σ = 141053741016591. Its totient is φ = 65101687095312.

The previous prime is 97652560288711. The next prime is 97652560288817. The reversal of 97652560288761 is 16788206525679.

The square root of 97652560288761 is 9881931.

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

97652560288761 is a `hidden beast` number, since 9 + 7 + 6 + 5 + 2 + 5 + 602 + 8 + 8 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43980174380025 + 53672385908736 = 6631755^2 + 7326144^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 97652560288761 - 2³³ = 97643970354169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97652560288761.

It is not an unprimeable number, because it can be changed into a prime (97652560288711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27998805 + ... + 31292781.

Almost surely, 2^{97652560288761} is an apocalyptic number.

97652560288761 is the 9881931-st square number.

97652560288761 is the 4940966-th centered octagonal number.

It is an amenable number.

97652560288761 is a deficient number, since it is larger than the sum of its proper divisors (43401180727830).

97652560288761 is an frugal number, since it uses more digits than its factorization.

97652560288761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587960 (or 3293980 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 97652560288761 in words is "ninety-seven trillion, six hundred fifty-two billion, five hundred sixty million, two hundred eighty-eight thousand, seven hundred sixty-one".