10586325089 has 2 divisors, whose sum is σ = 10586325090. Its totient is φ = 10586325088.

The previous prime is 10586325049. The next prime is 10586325107. The reversal of 10586325089 is 98052368501.

10586325089 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., 7515502864 + 3070822225 = 86692^2 + 55415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10586325089 - 2²⁴ = 10569547873 is a prime.

It is a super-2 number, since 2×10586325089² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10586325049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293162544 + 5293162545.

It is an arithmetic number, because the mean of its divisors is an integer number (5293162545).

Almost surely, 2^10586325089 is an apocalyptic number.

It is an amenable number.

10586325089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10586325089 is an equidigital number, since it uses as much as digits as its factorization.

10586325089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 10586325089 in words is "ten billion, five hundred eighty-six million, three hundred twenty-five thousand, eighty-nine".