127201427027617 has 2 divisors, whose sum is σ = 127201427027618. Its totient is φ = 127201427027616.

The previous prime is 127201427027603. The next prime is 127201427027627. The reversal of 127201427027617 is 716720724102721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98101972766736 + 29099454260881 = 9904644^2 + 5394391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127201427027617 is a prime.

It is not a weakly prime, because it can be changed into another prime (127201427027627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63600713513808 + 63600713513809.

It is an arithmetic number, because the mean of its divisors is an integer number (63600713513809).

Almost surely, 2^{127201427027617} is an apocalyptic number.

It is an amenable number.

127201427027617 is a deficient number, since it is larger than the sum of its proper divisors (1).

127201427027617 is an equidigital number, since it uses as much as digits as its factorization.

127201427027617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921984, while the sum is 49.

The spelling of 127201427027617 in words is "one hundred twenty-seven trillion, two hundred one billion, four hundred twenty-seven million, twenty-seven thousand, six hundred seventeen".