1127641704617 has 2 divisors, whose sum is σ = 1127641704618. Its totient is φ = 1127641704616.

The previous prime is 1127641704587. The next prime is 1127641704649. The reversal of 1127641704617 is 7164071467211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1114384254736 + 13257449881 = 1055644^2 + 115141^2 .

It is an emirp because it is prime and its reverse (7164071467211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1127641704617 - 2⁸ = 1127641704361 is a prime.

It is not a weakly prime, because it can be changed into another prime (1127641704667) 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, 563820852308 + 563820852309.

It is an arithmetic number, because the mean of its divisors is an integer number (563820852309).

Almost surely, 2^{1127641704617} is an apocalyptic number.

It is an amenable number.

1127641704617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1127641704617 is an equidigital number, since it uses as much as digits as its factorization.

1127641704617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 1127641704617 in words is "one trillion, one hundred twenty-seven billion, six hundred forty-one million, seven hundred four thousand, six hundred seventeen".