2560512537761 has 2 divisors, whose sum is σ = 2560512537762. Its totient is φ = 2560512537760.

The previous prime is 2560512537691. The next prime is 2560512537787. The reversal of 2560512537761 is 1677352150652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2017720816225 + 542791721536 = 1420465^2 + 736744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2560512537761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2560512530761) 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, 1280256268880 + 1280256268881.

It is an arithmetic number, because the mean of its divisors is an integer number (1280256268881).

Almost surely, 2^{2560512537761} is an apocalyptic number.

It is an amenable number.

2560512537761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2560512537761 is an equidigital number, since it uses as much as digits as its factorization.

2560512537761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646000, while the sum is 50.

The spelling of 2560512537761 in words is "two trillion, five hundred sixty billion, five hundred twelve million, five hundred thirty-seven thousand, seven hundred sixty-one".