20862582166681 has 2 divisors, whose sum is σ = 20862582166682. Its totient is φ = 20862582166680.

The previous prime is 20862582166649. The next prime is 20862582166687. The reversal of 20862582166681 is 18666128526802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15282196470025 + 5580385696656 = 3909245^2 + 2362284^2 .

It is a cyclic number.

It is not a de Polignac number, because 20862582166681 - 2⁵ = 20862582166649 is a prime.

It is a super-2 number, since 2×20862582166681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20862582166687) 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, 10431291083340 + 10431291083341.

It is an arithmetic number, because the mean of its divisors is an integer number (10431291083341).

Almost surely, 2^{20862582166681} is an apocalyptic number.

It is an amenable number.

20862582166681 is a deficient number, since it is larger than the sum of its proper divisors (1).

20862582166681 is an equidigital number, since it uses as much as digits as its factorization.

20862582166681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26542080, while the sum is 61.

The spelling of 20862582166681 in words is "twenty trillion, eight hundred sixty-two billion, five hundred eighty-two million, one hundred sixty-six thousand, six hundred eighty-one".