91986817313 has 2 divisors, whose sum is σ = 91986817314. Its totient is φ = 91986817312.

The previous prime is 91986817291. The next prime is 91986817327. The reversal of 91986817313 is 31371868919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91150855744 + 835961569 = 301912^2 + 28913^2 .

It is a cyclic number.

It is not a de Polignac number, because 91986817313 - 2⁶ = 91986817249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (91986817213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45993408656 + 45993408657.

It is an arithmetic number, because the mean of its divisors is an integer number (45993408657).

Almost surely, 2^91986817313 is an apocalyptic number.

It is an amenable number.

91986817313 is a deficient number, since it is larger than the sum of its proper divisors (1).

91986817313 is an equidigital number, since it uses as much as digits as its factorization.

91986817313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 56.

The spelling of 91986817313 in words is "ninety-one billion, nine hundred eighty-six million, eight hundred seventeen thousand, three hundred thirteen".