10806661008001 has 2 divisors, whose sum is σ = 10806661008002. Its totient is φ = 10806661008000.

The previous prime is 10806661007993. The next prime is 10806661008083. The reversal of 10806661008001 is 10080016660801.

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., 8663892015601 + 2142768992400 = 2943449^2 + 1463820^2 .

It is an emirp because it is prime and its reverse (10080016660801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10806661008001 - 2³ = 10806661007993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10806661008401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5403330504000 + 5403330504001.

It is an arithmetic number, because the mean of its divisors is an integer number (5403330504001).

Almost surely, 2^{10806661008001} is an apocalyptic number.

It is an amenable number.

10806661008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10806661008001 is an equidigital number, since it uses as much as digits as its factorization.

10806661008001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

Adding to 10806661008001 its reverse (10080016660801), we get a palindrome (20886677668802).

The spelling of 10806661008001 in words is "ten trillion, eight hundred six billion, six hundred sixty-one million, eight thousand, one".