1010010586889 has 2 divisors, whose sum is σ = 1010010586890. Its totient is φ = 1010010586888.

The previous prime is 1010010586877. The next prime is 1010010586891. The reversal of 1010010586889 is 9886850100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960233407225 + 49777179664 = 979915^2 + 223108^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010586889 - 2¹² = 1010010582793 is a prime.

Together with 1010010586891, 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 (1010010586829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005293444 + 505005293445.

It is an arithmetic number, because the mean of its divisors is an integer number (505005293445).

Almost surely, 2^{1010010586889} is an apocalyptic number.

It is an amenable number.

1010010586889 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010586889 is an equidigital number, since it uses as much as digits as its factorization.

1010010586889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 47.

The spelling of 1010010586889 in words is "one trillion, ten billion, ten million, five hundred eighty-six thousand, eight hundred eighty-nine".