97115880758121 has 45 divisors (see below), whose sum is σ = 145379578697991. Its totient is φ = 64607984235648.

The previous prime is 97115880758119. The next prime is 97115880758161. The reversal of 97115880758121 is 12185708851179.

The square root of 97115880758121 is 9854739.

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

It can be written as a sum of positive squares in only one way, i.e., 31782026378025 + 65333854380096 = 5637555^2 + 8082936^2 .

It is not a de Polignac number, because 97115880758121 - 2¹ = 97115880758119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97115880758161) 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 44 ways as a sum of consecutive naturals, for example, 59690153310 + ... + 59690154936.

Almost surely, 2^{97115880758121} is an apocalyptic number.

97115880758121 is the 9854739-th square number.

97115880758121 is the 4927370-th centered octagonal number.

It is an amenable number.

97115880758121 is a deficient number, since it is larger than the sum of its proper divisors (48263697939870).

97115880758121 is an frugal number, since it uses more digits than its factorization.

97115880758121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 63.

The spelling of 97115880758121 in words is "ninety-seven trillion, one hundred fifteen billion, eight hundred eighty million, seven hundred fifty-eight thousand, one hundred twenty-one".