38401375501057 has 2 divisors, whose sum is σ = 38401375501058. Its totient is φ = 38401375501056.

The previous prime is 38401375501003. The next prime is 38401375501123. The reversal of 38401375501057 is 75010557310483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25737855416001 + 12663520085056 = 5073249^2 + 3558584^2 .

It is an emirp because it is prime and its reverse (75010557310483) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38401375501057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38401375501057.

It is not a weakly prime, because it can be changed into another prime (38401375502057) 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, 19200687750528 + 19200687750529.

It is an arithmetic number, because the mean of its divisors is an integer number (19200687750529).

Almost surely, 2^{38401375501057} is an apocalyptic number.

It is an amenable number.

38401375501057 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401375501057 is an equidigital number, since it uses as much as digits as its factorization.

38401375501057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 38401375501057 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, five hundred one thousand, fifty-seven".