38401377387613 has 2 divisors, whose sum is σ = 38401377387614. Its totient is φ = 38401377387612.

The previous prime is 38401377387539. The next prime is 38401377387617. The reversal of 38401377387613 is 31678377310483.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38398681908889 + 2695478724 = 6196667^2 + 51918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38401377387613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401377387617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200688693806 + 19200688693807.

It is an arithmetic number, because the mean of its divisors is an integer number (19200688693807).

Almost surely, 2^{38401377387613} is an apocalyptic number.

It is an amenable number.

38401377387613 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401377387613 is an equidigital number, since it uses as much as digits as its factorization.

38401377387613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 38401377387613 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-seven million, three hundred eighty-seven thousand, six hundred thirteen".