97593135201 has 45 divisors (see below), whose sum is σ = 147654568611. Its totient is φ = 64239231168.

The previous prime is 97593135173. The next prime is 97593135223. The reversal of 97593135201 is 10253139579.

The square root of 97593135201 is 312399.

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

97593135201 is a `hidden beast` number, since 9 + 7 + 593 + 1 + 3 + 52 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26316950625 + 71276184576 = 162225^2 + 266976^2 .

It is not a de Polignac number, because 97593135201 - 2⁹ = 97593134689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97593135001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 289593705 + ... + 289594041.

Almost surely, 2^97593135201 is an apocalyptic number.

97593135201 is the 312399-th square number.

97593135201 is the 156200-th centered octagonal number.

It is an amenable number.

97593135201 is a deficient number, since it is larger than the sum of its proper divisors (50061433410).

97593135201 is an frugal number, since it uses more digits than its factorization.

97593135201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 97593135201 in words is "ninety-seven billion, five hundred ninety-three million, one hundred thirty-five thousand, two hundred one".