91405185401 has 2 divisors, whose sum is σ = 91405185402. Its totient is φ = 91405185400.

The previous prime is 91405185379. The next prime is 91405185437. The reversal of 91405185401 is 10458150419.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87864816400 + 3540369001 = 296420^2 + 59501^2 .

It is an emirp because it is prime and its reverse (10458150419) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91405185401 - 2⁶ = 91405185337 is a prime.

It is not a weakly prime, because it can be changed into another prime (91405185451) 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, 45702592700 + 45702592701.

It is an arithmetic number, because the mean of its divisors is an integer number (45702592701).

Almost surely, 2^91405185401 is an apocalyptic number.

It is an amenable number.

91405185401 is a deficient number, since it is larger than the sum of its proper divisors (1).

91405185401 is an equidigital number, since it uses as much as digits as its factorization.

91405185401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 91405185401 in words is "ninety-one billion, four hundred five million, one hundred eighty-five thousand, four hundred one".