289917450551401 has 2 divisors, whose sum is σ = 289917450551402. Its totient is φ = 289917450551400.

The previous prime is 289917450551371. The next prime is 289917450551413. The reversal of 289917450551401 is 104155054719982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289909364225625 + 8086325776 = 17026725^2 + 89924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-289917450551401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 289917450551401.

It is not a weakly prime, because it can be changed into another prime (289917450551441) 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, 144958725275700 + 144958725275701.

It is an arithmetic number, because the mean of its divisors is an integer number (144958725275701).

Almost surely, 2^{289917450551401} is an apocalyptic number.

It is an amenable number.

289917450551401 is a deficient number, since it is larger than the sum of its proper divisors (1).

289917450551401 is an equidigital number, since it uses as much as digits as its factorization.

289917450551401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 61.

The spelling of 289917450551401 in words is "two hundred eighty-nine trillion, nine hundred seventeen billion, four hundred fifty million, five hundred fifty-one thousand, four hundred one".