2456133306689 has 2 divisors, whose sum is σ = 2456133306690. Its totient is φ = 2456133306688.

The previous prime is 2456133306647. The next prime is 2456133306691. The reversal of 2456133306689 is 9866033316542.

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., 1965561940225 + 490571366464 = 1401985^2 + 700408^2 .

It is a cyclic number.

It is not a de Polignac number, because 2456133306689 - 2³² = 2451838339393 is a prime.

Together with 2456133306691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2456133366689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1228066653344 + 1228066653345.

It is an arithmetic number, because the mean of its divisors is an integer number (1228066653345).

Almost surely, 2^{2456133306689} is an apocalyptic number.

It is an amenable number.

2456133306689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2456133306689 is an equidigital number, since it uses as much as digits as its factorization.

2456133306689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 2456133306689 in words is "two trillion, four hundred fifty-six billion, one hundred thirty-three million, three hundred six thousand, six hundred eighty-nine".