857444512289 has 2 divisors, whose sum is σ = 857444512290. Its totient is φ = 857444512288.

The previous prime is 857444512273. The next prime is 857444512291. The reversal of 857444512289 is 982215444758.

It is a happy number.

857444512289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 834856827025 + 22587685264 = 913705^2 + 150292^2 .

It is a cyclic number.

It is not a de Polignac number, because 857444512289 - 2⁴ = 857444512273 is a prime.

It is a super-2 number, since 2×857444512289² (a number of 25 digits) contains 22 as substring.

Together with 857444512291, 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 (857444512219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 428722256144 + 428722256145.

It is an arithmetic number, because the mean of its divisors is an integer number (428722256145).

Almost surely, 2^857444512289 is an apocalyptic number.

It is an amenable number.

857444512289 is a deficient number, since it is larger than the sum of its proper divisors (1).

857444512289 is an equidigital number, since it uses as much as digits as its factorization.

857444512289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25804800, while the sum is 59.

The spelling of 857444512289 in words is "eight hundred fifty-seven billion, four hundred forty-four million, five hundred twelve thousand, two hundred eighty-nine".