91991182001 has 2 divisors, whose sum is σ = 91991182002. Its totient is φ = 91991182000.

The previous prime is 91991181991. The next prime is 91991182009. The reversal of 91991182001 is 10028119919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71599056400 + 20392125601 = 267580^2 + 142801^2 .

It is a cyclic number.

It is not a de Polignac number, because 91991182001 - 2¹⁸ = 91990919857 is a prime.

It is a super-2 number, since 2×91991182001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91991182001.

It is not a weakly prime, because it can be changed into another prime (91991182009) 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 as a sum of consecutive naturals, namely, 45995591000 + 45995591001.

It is an arithmetic number, because the mean of its divisors is an integer number (45995591001).

Almost surely, 2^91991182001 is an apocalyptic number.

It is an amenable number.

91991182001 is a deficient number, since it is larger than the sum of its proper divisors (1).

91991182001 is an equidigital number, since it uses as much as digits as its factorization.

91991182001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 41.

The spelling of 91991182001 in words is "ninety-one billion, nine hundred ninety-one million, one hundred eighty-two thousand, one".