97114036536625 has 96 divisors (see below), whose sum is σ = 129786138057888. Its totient is φ = 72526229452800.

The previous prime is 97114036536607. The next prime is 97114036536631. The reversal of 97114036536625 is 52663563041179.

It can be written as a sum of positive squares in 16 ways, for example, as 89312762994849 + 7801273541776 = 9450543^2 + 2793076^2 .

It is not a de Polignac number, because 97114036536625 - 2¹⁹ = 97114036012337 is a prime.

It is a super-2 number, since 2×97114036536625² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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 97114036536625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3679524429 + ... + 3679550821.

It is an arithmetic number, because the mean of its divisors is an integer number (1351938938103).

Almost surely, 2^{97114036536625} is an apocalyptic number.

97114036536625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

97114036536625 is a deficient number, since it is larger than the sum of its proper divisors (32672101521263).

97114036536625 is a wasteful number, since it uses less digits than its factorization.

97114036536625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27636 (or 27607 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 97114036536625 in words is "ninety-seven trillion, one hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, six hundred twenty-five".