2256123828617 has 2 divisors, whose sum is σ = 2256123828618. Its totient is φ = 2256123828616.

The previous prime is 2256123828599. The next prime is 2256123828631. The reversal of 2256123828617 is 7168283216522.

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., 1131296013376 + 1124827815241 = 1063624^2 + 1060579^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256123828617 - 2¹⁴ = 2256123812233 is a prime.

It is a super-3 number, since 3×2256123828617³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2256123828677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128061914308 + 1128061914309.

It is an arithmetic number, because the mean of its divisors is an integer number (1128061914309).

Almost surely, 2^{2256123828617} is an apocalyptic number.

It is an amenable number.

2256123828617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256123828617 is an equidigital number, since it uses as much as digits as its factorization.

2256123828617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3870720, while the sum is 53.

The spelling of 2256123828617 in words is "two trillion, two hundred fifty-six billion, one hundred twenty-three million, eight hundred twenty-eight thousand, six hundred seventeen".