2256264617 has 2 divisors, whose sum is σ = 2256264618. Its totient is φ = 2256264616.

The previous prime is 2256264589. The next prime is 2256264629. The reversal of 2256264617 is 7164626522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2250933136 + 5331481 = 47444^2 + 2309^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256264617 - 2²⁶ = 2189155753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2256267617) 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, 1128132308 + 1128132309.

It is an arithmetic number, because the mean of its divisors is an integer number (1128132309).

Almost surely, 2^2256264617 is an apocalyptic number.

It is an amenable number.

2256264617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256264617 is an equidigital number, since it uses as much as digits as its factorization.

2256264617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 41.

The square root of 2256264617 is about 47500.1538629087. The cubic root of 2256264617 is about 1311.5857139390.

The spelling of 2256264617 in words is "two billion, two hundred fifty-six million, two hundred sixty-four thousand, six hundred seventeen".