2559012672289 has 2 divisors, whose sum is σ = 2559012672290. Its totient is φ = 2559012672288.

The previous prime is 2559012672239. The next prime is 2559012672301. The reversal of 2559012672289 is 9822762109552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2437866908689 + 121145763600 = 1561367^2 + 348060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2559012672289 - 2²³ = 2559004283681 is a prime.

It is not a weakly prime, because it can be changed into another prime (2559012672239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1279506336144 + 1279506336145.

It is an arithmetic number, because the mean of its divisors is an integer number (1279506336145).

Almost surely, 2^{2559012672289} is an apocalyptic number.

It is an amenable number.

2559012672289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2559012672289 is an equidigital number, since it uses as much as digits as its factorization.

2559012672289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 2559012672289 in words is "two trillion, five hundred fifty-nine billion, twelve million, six hundred seventy-two thousand, two hundred eighty-nine".