1001001010589 has 2 divisors, whose sum is σ = 1001001010590. Its totient is φ = 1001001010588.

The previous prime is 1001001010483. The next prime is 1001001010591. The reversal of 1001001010589 is 9850101001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000860184900 + 140825689 = 1000430^2 + 11867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001001010589 is a prime.

Together with 1001001010591, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001001015589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500505294 + 500500505295.

It is an arithmetic number, because the mean of its divisors is an integer number (500500505295).

Almost surely, 2^{1001001010589} is an apocalyptic number.

It is an amenable number.

1001001010589 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001010589 is an equidigital number, since it uses as much as digits as its factorization.

1001001010589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 26.

The spelling of 1001001010589 in words is "one trillion, one billion, one million, ten thousand, five hundred eighty-nine".