4564317027089 has 2 divisors, whose sum is σ = 4564317027090. Its totient is φ = 4564317027088.

The previous prime is 4564317027071. The next prime is 4564317027091. The reversal of 4564317027089 is 9807207134654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4228719268225 + 335597758864 = 2056385^2 + 579308^2 .

It is a cyclic number.

It is not a de Polignac number, because 4564317027089 - 2¹⁶ = 4564316961553 is a prime.

Together with 4564317027091, 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 (4564317027059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2282158513544 + 2282158513545.

It is an arithmetic number, because the mean of its divisors is an integer number (2282158513545).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4564317027089 = 9128634054178, but 3⋅4564317027089 = 13692951081267 is not.

Almost surely, 2^{4564317027089} is an apocalyptic number.

It is an amenable number.

4564317027089 is a deficient number, since it is larger than the sum of its proper divisors (1).

4564317027089 is an equidigital number, since it uses as much as digits as its factorization.

4564317027089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 4564317027089 in words is "four trillion, five hundred sixty-four billion, three hundred seventeen million, twenty-seven thousand, eighty-nine".