97525668681 has 45 divisors (see below), whose sum is σ = 169506237879. Its totient is φ = 55717711056.

The previous prime is 97525668659. The next prime is 97525668707. The reversal of 97525668681 is 18686652579.

The square root of 97525668681 is 312291.

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

97525668681 is a `hidden beast` number, since 9 + 7 + 5 + 2 + 566 + 8 + 68 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82710884025 + 14814784656 = 287595^2 + 121716^2 .

It is not a de Polignac number, because 97525668681 - 2³¹ = 95378185033 is a prime.

It is a super-2 number, since 2×97525668681² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97525668181) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19671855 + ... + 19676811.

Almost surely, 2^97525668681 is an apocalyptic number.

97525668681 is the 312291-st square number.

97525668681 is the 156146-th centered octagonal number.

It is an amenable number.

97525668681 is a deficient number, since it is larger than the sum of its proper divisors (71980569198).

97525668681 is an frugal number, since it uses more digits than its factorization.

97525668681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 4967 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 97525668681 in words is "ninety-seven billion, five hundred twenty-five million, six hundred sixty-eight thousand, six hundred eighty-one".