2556522641 has 2 divisors, whose sum is σ = 2556522642. Its totient is φ = 2556522640.

The previous prime is 2556522629. The next prime is 2556522643. The reversal of 2556522641 is 1462256552.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1965060241 + 591462400 = 44329^2 + 24320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556522641 - 2²⁶ = 2489413777 is a prime.

It is a super-2 number, since 2×2556522641² = 13071616027891229762, which contains 22 as substring.

Together with 2556522643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2556522595 and 2556522604.

It is not a weakly prime, because it can be changed into another prime (2556522643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278261320 + 1278261321.

It is an arithmetic number, because the mean of its divisors is an integer number (1278261321).

Almost surely, 2^2556522641 is an apocalyptic number.

It is an amenable number.

2556522641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2556522641 is an equidigital number, since it uses as much as digits as its factorization.

2556522641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144000, while the sum is 38.

The square root of 2556522641 is about 50562.0672144642. The cubic root of 2556522641 is about 1367.3610808196.

The spelling of 2556522641 in words is "two billion, five hundred fifty-six million, five hundred twenty-two thousand, six hundred forty-one".