2557944771841 has 2 divisors, whose sum is σ = 2557944771842. Its totient is φ = 2557944771840.

The previous prime is 2557944771839. The next prime is 2557944771881. The reversal of 2557944771841 is 1481774497552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2438594560000 + 119350211841 = 1561600^2 + 345471^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557944771841 - 2¹ = 2557944771839 is a prime.

Together with 2557944771839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2557944771881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278972385920 + 1278972385921.

It is an arithmetic number, because the mean of its divisors is an integer number (1278972385921).

Almost surely, 2^{2557944771841} is an apocalyptic number.

It is an amenable number.

2557944771841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557944771841 is an equidigital number, since it uses as much as digits as its factorization.

2557944771841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 79027200, while the sum is 64.

The spelling of 2557944771841 in words is "two trillion, five hundred fifty-seven billion, nine hundred forty-four million, seven hundred seventy-one thousand, eight hundred forty-one".