10580066211697 has 2 divisors, whose sum is σ = 10580066211698. Its totient is φ = 10580066211696.

The previous prime is 10580066211679. The next prime is 10580066211703. The reversal of 10580066211697 is 79611266008501.

Together with previous prime (10580066211679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9603360947041 + 976705264656 = 3098929^2 + 988284^2 .

It is an emirp because it is prime and its reverse (79611266008501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10580066211697 - 2⁷ = 10580066211569 is a prime.

It is a super-2 number, since 2×10580066211697² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10580066211097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290033105848 + 5290033105849.

It is an arithmetic number, because the mean of its divisors is an integer number (5290033105849).

Almost surely, 2^{10580066211697} is an apocalyptic number.

It is an amenable number.

10580066211697 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580066211697 is an equidigital number, since it uses as much as digits as its factorization.

10580066211697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 10580066211697 in words is "ten trillion, five hundred eighty billion, sixty-six million, two hundred eleven thousand, six hundred ninety-seven".