2257007778677 has 2 divisors, whose sum is σ = 2257007778678. Its totient is φ = 2257007778676.

The previous prime is 2257007778661. The next prime is 2257007778679. The reversal of 2257007778677 is 7768777007522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2255505363556 + 1502415121 = 1501834^2 + 38761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257007778677 - 2⁴ = 2257007778661 is a prime.

It is a super-2 number, since 2×2257007778677² (a number of 26 digits) contains 22 as substring.

Together with 2257007778679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257007778679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128503889338 + 1128503889339.

It is an arithmetic number, because the mean of its divisors is an integer number (1128503889339).

Almost surely, 2^{2257007778677} is an apocalyptic number.

It is an amenable number.

2257007778677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257007778677 is an equidigital number, since it uses as much as digits as its factorization.

2257007778677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112943040, while the sum is 65.

The spelling of 2257007778677 in words is "two trillion, two hundred fifty-seven billion, seven million, seven hundred seventy-eight thousand, six hundred seventy-seven".