589990100011001 has 2 divisors, whose sum is σ = 589990100011002. Its totient is φ = 589990100011000.

The previous prime is 589990100010973. The next prime is 589990100011007. The reversal of 589990100011001 is 100110001099985.

589990100011001 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., 401205907515625 + 188784192495376 = 20030125^2 + 13739876^2 .

It is a cyclic number.

It is not a de Polignac number, because 589990100011001 - 2⁶ = 589990100010937 is a prime.

It is a super-2 number, since 2×589990100011001² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (589990100011007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 294995050005500 + 294995050005501.

It is an arithmetic number, because the mean of its divisors is an integer number (294995050005501).

Almost surely, 2^{589990100011001} is an apocalyptic number.

It is an amenable number.

589990100011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

589990100011001 is an equidigital number, since it uses as much as digits as its factorization.

589990100011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 44.

The spelling of 589990100011001 in words is "five hundred eighty-nine trillion, nine hundred ninety billion, one hundred million, eleven thousand, one".