93310785122689 has 2 divisors, whose sum is σ = 93310785122690. Its totient is φ = 93310785122688.

The previous prime is 93310785122677. The next prime is 93310785122699. The reversal of 93310785122689 is 98622158701339.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67317184137025 + 25993600985664 = 8204705^2 + 5098392^2 .

It is a cyclic number.

It is not a de Polignac number, because 93310785122689 - 2¹⁹ = 93310784598401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93310785122689.

It is not a weakly prime, because it can be changed into another prime (93310785122699) 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, 46655392561344 + 46655392561345.

It is an arithmetic number, because the mean of its divisors is an integer number (46655392561345).

Almost surely, 2^{93310785122689} is an apocalyptic number.

It is an amenable number.

93310785122689 is a deficient number, since it is larger than the sum of its proper divisors (1).

93310785122689 is an equidigital number, since it uses as much as digits as its factorization.

93310785122689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 93310785122689 in words is "ninety-three trillion, three hundred ten billion, seven hundred eighty-five million, one hundred twenty-two thousand, six hundred eighty-nine".