2257812961 has 2 divisors, whose sum is σ = 2257812962. Its totient is φ = 2257812960.

The previous prime is 2257812941. The next prime is 2257813007. The reversal of 2257812961 is 1692187522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2117840400 + 139972561 = 46020^2 + 11831^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257812961 - 2¹¹ = 2257810913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2257812941) 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, 1128906480 + 1128906481.

It is an arithmetic number, because the mean of its divisors is an integer number (1128906481).

Almost surely, 2^2257812961 is an apocalyptic number.

It is an amenable number.

2257812961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257812961 is an equidigital number, since it uses as much as digits as its factorization.

2257812961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 43.

The square root of 2257812961 is about 47516.4493728225. The cubic root of 2257812961 is about 1311.8856671589.

The spelling of 2257812961 in words is "two billion, two hundred fifty-seven million, eight hundred twelve thousand, nine hundred sixty-one".