91524237188113 has 2 divisors, whose sum is σ = 91524237188114. Its totient is φ = 91524237188112.

The previous prime is 91524237188101. The next prime is 91524237188141. The reversal of 91524237188113 is 31188173242519.

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., 83506918556944 + 8017318631169 = 9138212^2 + 2831487^2 .

It is a cyclic number.

It is not a de Polignac number, because 91524237188113 - 2⁹ = 91524237187601 is a prime.

It is not a weakly prime, because it can be changed into another prime (91524237168113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45762118594056 + 45762118594057.

It is an arithmetic number, because the mean of its divisors is an integer number (45762118594057).

Almost surely, 2^{91524237188113} is an apocalyptic number.

It is an amenable number.

91524237188113 is a deficient number, since it is larger than the sum of its proper divisors (1).

91524237188113 is an equidigital number, since it uses as much as digits as its factorization.

91524237188113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 55.

The spelling of 91524237188113 in words is "ninety-one trillion, five hundred twenty-four billion, two hundred thirty-seven million, one hundred eighty-eight thousand, one hundred thirteen".