871292911681 has 2 divisors, whose sum is σ = 871292911682. Its totient is φ = 871292911680.

The previous prime is 871292911651. The next prime is 871292911691. The reversal of 871292911681 is 186119292178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 863087450625 + 8205461056 = 929025^2 + 90584^2 .

It is a cyclic number.

It is not a de Polignac number, because 871292911681 - 2¹⁷ = 871292780609 is a prime.

It is a super-2 number, since 2×871292911681² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (871292911631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435646455840 + 435646455841.

It is an arithmetic number, because the mean of its divisors is an integer number (435646455841).

Almost surely, 2^871292911681 is an apocalyptic number.

It is an amenable number.

871292911681 is a deficient number, since it is larger than the sum of its proper divisors (1).

871292911681 is an equidigital number, since it uses as much as digits as its factorization.

871292911681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 55.

The spelling of 871292911681 in words is "eight hundred seventy-one billion, two hundred ninety-two million, nine hundred eleven thousand, six hundred eighty-one".