91596417201 has 27 divisors (see below), whose sum is σ = 134106911211. Its totient is φ = 60244099344.

The previous prime is 91596417169. The next prime is 91596417223. The reversal of 91596417201 is 10271469519.

The square root of 91596417201 is 302649.

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., 60169637025 + 31426780176 = 245295^2 + 177276^2 .

It is not a de Polignac number, because 91596417201 - 2⁵ = 91596417169 is a prime.

It is a super-3 number, since 3×91596417201³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (91596417001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71727175 + ... + 71728451.

Almost surely, 2^91596417201 is an apocalyptic number.

91596417201 is the 302649-th square number.

91596417201 is the 151325-th centered octagonal number.

It is an amenable number.

91596417201 is a deficient number, since it is larger than the sum of its proper divisors (42510494010).

91596417201 is an frugal number, since it uses more digits than its factorization.

91596417201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 91596417201 in words is "ninety-one billion, five hundred ninety-six million, four hundred seventeen thousand, two hundred one".