93540344553217 has 2 divisors, whose sum is σ = 93540344553218. Its totient is φ = 93540344553216.

The previous prime is 93540344553163. The next prime is 93540344553251. The reversal of 93540344553217 is 71235544304539.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89652037762576 + 3888306790641 = 9468476^2 + 1971879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-93540344553217 is a prime.

It is not a weakly prime, because it can be changed into another prime (93540344553517) 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, 46770172276608 + 46770172276609.

It is an arithmetic number, because the mean of its divisors is an integer number (46770172276609).

Almost surely, 2^{93540344553217} is an apocalyptic number.

It is an amenable number.

93540344553217 is a deficient number, since it is larger than the sum of its proper divisors (1).

93540344553217 is an equidigital number, since it uses as much as digits as its factorization.

93540344553217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216000, while the sum is 55.

The spelling of 93540344553217 in words is "ninety-three trillion, five hundred forty billion, three hundred forty-four million, five hundred fifty-three thousand, two hundred seventeen".