2561796880241 has 2 divisors, whose sum is σ = 2561796880242. Its totient is φ = 2561796880240.

The previous prime is 2561796880183. The next prime is 2561796880249. The reversal of 2561796880241 is 1420886971652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107795830625 + 454001049616 = 1451825^2 + 673796^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561796880241 - 2²² = 2561792685937 is a prime.

It is a super-2 number, since 2×2561796880241² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2561796880249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280898440120 + 1280898440121.

It is an arithmetic number, because the mean of its divisors is an integer number (1280898440121).

Almost surely, 2^{2561796880241} is an apocalyptic number.

It is an amenable number.

2561796880241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561796880241 is an equidigital number, since it uses as much as digits as its factorization.

2561796880241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 2561796880241 in words is "two trillion, five hundred sixty-one billion, seven hundred ninety-six million, eight hundred eighty thousand, two hundred forty-one".