39121395098593 has 2 divisors, whose sum is σ = 39121395098594. Its totient is φ = 39121395098592.

The previous prime is 39121395098549. The next prime is 39121395098629. The reversal of 39121395098593 is 39589059312193.

39121395098593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33822982957009 + 5298412141584 = 5815753^2 + 2301828^2 .

It is a cyclic number.

It is not a de Polignac number, because 39121395098593 - 2¹⁷ = 39121394967521 is a prime.

It is not a weakly prime, because it can be changed into another prime (39121395090593) 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, 19560697549296 + 19560697549297.

It is an arithmetic number, because the mean of its divisors is an integer number (19560697549297).

Almost surely, 2^{39121395098593} is an apocalyptic number.

It is an amenable number.

39121395098593 is a deficient number, since it is larger than the sum of its proper divisors (1).

39121395098593 is an equidigital number, since it uses as much as digits as its factorization.

39121395098593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70858800, while the sum is 67.

The spelling of 39121395098593 in words is "thirty-nine trillion, one hundred twenty-one billion, three hundred ninety-five million, ninety-eight thousand, five hundred ninety-three".