38401375502617 has 2 divisors, whose sum is σ = 38401375502618. Its totient is φ = 38401375502616.

The previous prime is 38401375502587. The next prime is 38401375502641. The reversal of 38401375502617 is 71620557310483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37334495158416 + 1066880344201 = 6110196^2 + 1032899^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401375502617 - 2¹¹ = 38401375500569 is a prime.

It is not a weakly prime, because it can be changed into another prime (38401375506617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200687751308 + 19200687751309.

It is an arithmetic number, because the mean of its divisors is an integer number (19200687751309).

Almost surely, 2^{38401375502617} is an apocalyptic number.

It is an amenable number.

38401375502617 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401375502617 is an equidigital number, since it uses as much as digits as its factorization.

38401375502617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 38401375502617 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, five hundred two thousand, six hundred seventeen".