39368768290993 has 2 divisors, whose sum is σ = 39368768290994. Its totient is φ = 39368768290992.

The previous prime is 39368768290961. The next prime is 39368768291009. The reversal of 39368768290993 is 39909286786393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33870456147889 + 5498312143104 = 5819833^2 + 2344848^2 .

It is a cyclic number.

It is not a de Polignac number, because 39368768290993 - 2⁵ = 39368768290961 is a prime.

It is not a weakly prime, because it can be changed into another prime (39368768290493) 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, 19684384145496 + 19684384145497.

It is an arithmetic number, because the mean of its divisors is an integer number (19684384145497).

Almost surely, 2^{39368768290993} is an apocalyptic number.

It is an amenable number.

39368768290993 is a deficient number, since it is larger than the sum of its proper divisors (1).

39368768290993 is an equidigital number, since it uses as much as digits as its factorization.

39368768290993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5714053632, while the sum is 82.

The spelling of 39368768290993 in words is "thirty-nine trillion, three hundred sixty-eight billion, seven hundred sixty-eight million, two hundred ninety thousand, nine hundred ninety-three".