289917450289057 has 2 divisors, whose sum is σ = 289917450289058. Its totient is φ = 289917450289056.

The previous prime is 289917450288967. The next prime is 289917450289081. The reversal of 289917450289057 is 750982054719982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283839233405841 + 6078216883216 = 16847529^2 + 2465404^2 .

It is a cyclic number.

It is not a de Polignac number, because 289917450289057 - 2⁷ = 289917450288929 is a prime.

It is not a weakly prime, because it can be changed into another prime (289917450589057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144958725144528 + 144958725144529.

It is an arithmetic number, because the mean of its divisors is an integer number (144958725144529).

Almost surely, 2^{289917450289057} is an apocalyptic number.

It is an amenable number.

289917450289057 is a deficient number, since it is larger than the sum of its proper divisors (1).

289917450289057 is an equidigital number, since it uses as much as digits as its factorization.

289917450289057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 914457600, while the sum is 76.

The spelling of 289917450289057 in words is "two hundred eighty-nine trillion, nine hundred seventeen billion, four hundred fifty million, two hundred eighty-nine thousand, fifty-seven".