2773522668817 has 2 divisors, whose sum is σ = 2773522668818. Its totient is φ = 2773522668816.

The previous prime is 2773522668803. The next prime is 2773522668821. The reversal of 2773522668817 is 7188662253772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1801565266176 + 971957402641 = 1342224^2 + 985879^2 .

It is a cyclic number.

It is not a de Polignac number, because 2773522668817 - 2²⁷ = 2773388451089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2773522668877) 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, 1386761334408 + 1386761334409.

It is an arithmetic number, because the mean of its divisors is an integer number (1386761334409).

Almost surely, 2^{2773522668817} is an apocalyptic number.

It is an amenable number.

2773522668817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2773522668817 is an equidigital number, since it uses as much as digits as its factorization.

2773522668817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94832640, while the sum is 64.

The spelling of 2773522668817 in words is "two trillion, seven hundred seventy-three billion, five hundred twenty-two million, six hundred sixty-eight thousand, eight hundred seventeen".