10585434089 has 2 divisors, whose sum is σ = 10585434090. Its totient is φ = 10585434088.

The previous prime is 10585434077. The next prime is 10585434121. The reversal of 10585434089 is 98043458501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9938494864 + 646939225 = 99692^2 + 25435^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585434089 - 2¹² = 10585429993 is a prime.

It is a super-2 number, since 2×10585434089² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10585434059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292717044 + 5292717045.

It is an arithmetic number, because the mean of its divisors is an integer number (5292717045).

Almost surely, 2^10585434089 is an apocalyptic number.

It is an amenable number.

10585434089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585434089 is an equidigital number, since it uses as much as digits as its factorization.

10585434089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 10585434089 in words is "ten billion, five hundred eighty-five million, four hundred thirty-four thousand, eighty-nine".