2256457009 has 2 divisors, whose sum is σ = 2256457010. Its totient is φ = 2256457008.

The previous prime is 2256456989. The next prime is 2256457117. The reversal of 2256457009 is 9007546522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1424307600 + 832149409 = 37740^2 + 28847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256457009 - 2⁵ = 2256456977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2256407009) 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, 1128228504 + 1128228505.

It is an arithmetic number, because the mean of its divisors is an integer number (1128228505).

Almost surely, 2^2256457009 is an apocalyptic number.

It is an amenable number.

2256457009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256457009 is an equidigital number, since it uses as much as digits as its factorization.

2256457009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2256457009 is about 47502.1789921262. The cubic root of 2256457009 is about 1311.6229925786.

The spelling of 2256457009 in words is "two billion, two hundred fifty-six million, four hundred fifty-seven thousand, nine".