2277055527013 has 2 divisors, whose sum is σ = 2277055527014. Its totient is φ = 2277055527012.

The previous prime is 2277055526983. The next prime is 2277055527023. The reversal of 2277055527013 is 3107255507722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2268376368769 + 8679158244 = 1506113^2 + 93162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2277055527013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2277055527023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138527763506 + 1138527763507.

It is an arithmetic number, because the mean of its divisors is an integer number (1138527763507).

Almost surely, 2^{2277055527013} is an apocalyptic number.

It is an amenable number.

2277055527013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277055527013 is an equidigital number, since it uses as much as digits as its factorization.

2277055527013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1029000, while the sum is 46.

The spelling of 2277055527013 in words is "two trillion, two hundred seventy-seven billion, fifty-five million, five hundred twenty-seven thousand, thirteen".