871767155744561 has 2 divisors, whose sum is σ = 871767155744562. Its totient is φ = 871767155744560.

The previous prime is 871767155744509. The next prime is 871767155744591. The reversal of 871767155744561 is 165447551767178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 850857396691600 + 20909759052961 = 29169460^2 + 4572719^2 .

It is a cyclic number.

It is not a de Polignac number, because 871767155744561 - 2¹⁴ = 871767155728177 is a prime.

It is not a weakly prime, because it can be changed into another prime (871767155744591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435883577872280 + 435883577872281.

It is an arithmetic number, because the mean of its divisors is an integer number (435883577872281).

Almost surely, 2^{871767155744561} is an apocalyptic number.

It is an amenable number.

871767155744561 is a deficient number, since it is larger than the sum of its proper divisors (1).

871767155744561 is an equidigital number, since it uses as much as digits as its factorization.

871767155744561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1382976000, while the sum is 74.

The spelling of 871767155744561 in words is "eight hundred seventy-one trillion, seven hundred sixty-seven billion, one hundred fifty-five million, seven hundred forty-four thousand, five hundred sixty-one".