38717252108641 has 2 divisors, whose sum is σ = 38717252108642. Its totient is φ = 38717252108640.

The previous prime is 38717252108629. The next prime is 38717252108681. The reversal of 38717252108641 is 14680125271783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34681251468241 + 4036000640400 = 5889079^2 + 2008980^2 .

It is a cyclic number.

It is not a de Polignac number, because 38717252108641 - 2³⁵ = 38682892370273 is a prime.

It is a super-2 number, since 2×38717252108641² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38717252108681) 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, 19358626054320 + 19358626054321.

It is an arithmetic number, because the mean of its divisors is an integer number (19358626054321).

Almost surely, 2^{38717252108641} is an apocalyptic number.

It is an amenable number.

38717252108641 is a deficient number, since it is larger than the sum of its proper divisors (1).

38717252108641 is an equidigital number, since it uses as much as digits as its factorization.

38717252108641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 38717252108641 in words is "thirty-eight trillion, seven hundred seventeen billion, two hundred fifty-two million, one hundred eight thousand, six hundred forty-one".