10066565681 has 2 divisors, whose sum is σ = 10066565682. Its totient is φ = 10066565680.

The previous prime is 10066565651. The next prime is 10066565689. The reversal of 10066565681 is 18656566001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9882149281 + 184416400 = 99409^2 + 13580^2 .

It is an emirp because it is prime and its reverse (18656566001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10066565681 is a prime.

It is a super-2 number, since 2×10066565681² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10066565689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033282840 + 5033282841.

It is an arithmetic number, because the mean of its divisors is an integer number (5033282841).

Almost surely, 2^10066565681 is an apocalyptic number.

It is an amenable number.

10066565681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10066565681 is an equidigital number, since it uses as much as digits as its factorization.

10066565681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 10066565681 in words is "ten billion, sixty-six million, five hundred sixty-five thousand, six hundred eighty-one".