10580066211097 has 2 divisors, whose sum is σ = 10580066211098. Its totient is φ = 10580066211096.

The previous prime is 10580066211079. The next prime is 10580066211149. The reversal of 10580066211097 is 79011266008501.

Together with previous prime (10580066211079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8346846806281 + 2233219404816 = 2889091^2 + 1494396^2 .

It is a cyclic number.

It is not a de Polignac number, because 10580066211097 - 2¹¹ = 10580066209049 is a prime.

It is a super-2 number, since 2×10580066211097² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10580066211697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290033105548 + 5290033105549.

It is an arithmetic number, because the mean of its divisors is an integer number (5290033105549).

Almost surely, 2^{10580066211097} is an apocalyptic number.

It is an amenable number.

10580066211097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580066211097 is an equidigital number, since it uses as much as digits as its factorization.

10580066211097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 10580066211097 in words is "ten trillion, five hundred eighty billion, sixty-six million, two hundred eleven thousand, ninety-seven".