2256977117249 has 2 divisors, whose sum is σ = 2256977117250. Its totient is φ = 2256977117248.

The previous prime is 2256977117209. The next prime is 2256977117257. The reversal of 2256977117249 is 9427117796522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1135358443024 + 1121618674225 = 1065532^2 + 1059065^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256977117249 - 2²⁰ = 2256976068673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2256977117191 and 2256977117200.

It is not a weakly prime, because it can be changed into another prime (2256977117209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128488558624 + 1128488558625.

It is an arithmetic number, because the mean of its divisors is an integer number (1128488558625).

Almost surely, 2^{2256977117249} is an apocalyptic number.

It is an amenable number.

2256977117249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256977117249 is an equidigital number, since it uses as much as digits as its factorization.

2256977117249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26671680, while the sum is 62.

The spelling of 2256977117249 in words is "two trillion, two hundred fifty-six billion, nine hundred seventy-seven million, one hundred seventeen thousand, two hundred forty-nine".