2779059110137 has 2 divisors, whose sum is σ = 2779059110138. Its totient is φ = 2779059110136.

The previous prime is 2779059110119. The next prime is 2779059110153. The reversal of 2779059110137 is 7310119509772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2104991837881 + 674067272256 = 1450859^2 + 821016^2 .

It is a cyclic number.

It is not a de Polignac number, because 2779059110137 - 2³⁹ = 2229303296249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2779059120137) 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, 1389529555068 + 1389529555069.

It is an arithmetic number, because the mean of its divisors is an integer number (1389529555069).

Almost surely, 2^{2779059110137} is an apocalyptic number.

It is an amenable number.

2779059110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2779059110137 is an equidigital number, since it uses as much as digits as its factorization.

2779059110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 833490, while the sum is 52.

The spelling of 2779059110137 in words is "two trillion, seven hundred seventy-nine billion, fifty-nine million, one hundred ten thousand, one hundred thirty-seven".