12777542213617 has 2 divisors, whose sum is σ = 12777542213618. Its totient is φ = 12777542213616.

The previous prime is 12777542213591. The next prime is 12777542213627. The reversal of 12777542213617 is 71631224577721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8463264270561 + 4314277943056 = 2909169^2 + 2077084^2 .

It is a cyclic number.

It is not a de Polignac number, because 12777542213617 - 2¹⁹ = 12777541689329 is a prime.

It is not a weakly prime, because it can be changed into another prime (12777542213627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6388771106808 + 6388771106809.

It is an arithmetic number, because the mean of its divisors is an integer number (6388771106809).

Almost surely, 2^{12777542213617} is an apocalyptic number.

It is an amenable number.

12777542213617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12777542213617 is an equidigital number, since it uses as much as digits as its factorization.

12777542213617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6914880, while the sum is 55.

The spelling of 12777542213617 in words is "twelve trillion, seven hundred seventy-seven billion, five hundred forty-two million, two hundred thirteen thousand, six hundred seventeen".