91735629113 has 2 divisors, whose sum is σ = 91735629114. Its totient is φ = 91735629112.

The previous prime is 91735629103. The next prime is 91735629121. The reversal of 91735629113 is 31192653719.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77789672464 + 13945956649 = 278908^2 + 118093^2 .

It is a cyclic number.

It is not a de Polignac number, because 91735629113 - 2²⁴ = 91718851897 is a prime.

It is not a weakly prime, because it can be changed into another prime (91735629103) 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, 45867814556 + 45867814557.

It is an arithmetic number, because the mean of its divisors is an integer number (45867814557).

Almost surely, 2^91735629113 is an apocalyptic number.

It is an amenable number.

91735629113 is a deficient number, since it is larger than the sum of its proper divisors (1).

91735629113 is an equidigital number, since it uses as much as digits as its factorization.

91735629113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180, while the sum is 47.

The spelling of 91735629113 in words is "ninety-one billion, seven hundred thirty-five million, six hundred twenty-nine thousand, one hundred thirteen".