39788047824013 has 2 divisors, whose sum is σ = 39788047824014. Its totient is φ = 39788047824012.

The previous prime is 39788047823921. The next prime is 39788047824043. The reversal of 39788047824013 is 31042874088793.

39788047824013 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., 27191667280969 + 12596380543044 = 5214563^2 + 3549138^2 .

It is a cyclic number.

It is not a de Polignac number, because 39788047824013 - 2²⁹ = 39787510953101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39788047824043) 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, 19894023912006 + 19894023912007.

It is an arithmetic number, because the mean of its divisors is an integer number (19894023912007).

Almost surely, 2^{39788047824013} is an apocalyptic number.

It is an amenable number.

39788047824013 is a deficient number, since it is larger than the sum of its proper divisors (1).

39788047824013 is an equidigital number, since it uses as much as digits as its factorization.

39788047824013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 39788047824013 in words is "thirty-nine trillion, seven hundred eighty-eight billion, forty-seven million, eight hundred twenty-four thousand, thirteen".