38401613173577 has 2 divisors, whose sum is σ = 38401613173578. Its totient is φ = 38401613173576.

The previous prime is 38401613173549. The next prime is 38401613173631. The reversal of 38401613173577 is 77537131610483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33360281498896 + 5041331674681 = 5775836^2 + 2245291^2 .

It is an emirp because it is prime and its reverse (77537131610483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38401613173577 - 2⁶ = 38401613173513 is a prime.

It is not a weakly prime, because it can be changed into another prime (38401613173877) 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, 19200806586788 + 19200806586789.

It is an arithmetic number, because the mean of its divisors is an integer number (19200806586789).

Almost surely, 2^{38401613173577} is an apocalyptic number.

It is an amenable number.

38401613173577 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401613173577 is an equidigital number, since it uses as much as digits as its factorization.

38401613173577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8890560, while the sum is 56.

The spelling of 38401613173577 in words is "thirty-eight trillion, four hundred one billion, six hundred thirteen million, one hundred seventy-three thousand, five hundred seventy-seven".