871065824256167 has 32 divisors (see below), whose sum is σ = 964676650721280. Its totient is φ = 783320872561920.

The previous prime is 871065824256139. The next prime is 871065824256169. The reversal of 871065824256167 is 761652428560178.

It is a cyclic number.

It is not a de Polignac number, because 871065824256167 - 2¹⁴ = 871065824239783 is a prime.

It is a super-2 number, since 2×871065824256167² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 871065824256097 and 871065824256106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871065824256169) 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 in 31 ways as a sum of consecutive naturals, for example, 2064870578 + ... + 2065292384.

It is an arithmetic number, because the mean of its divisors is an integer number (30146145335040).

Almost surely, 2^{871065824256167} is an apocalyptic number.

871065824256167 is a deficient number, since it is larger than the sum of its proper divisors (93610826465113).

871065824256167 is a wasteful number, since it uses less digits than its factorization.

871065824256167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493551.

The product of its (nonzero) digits is 270950400, while the sum is 68.

The spelling of 871065824256167 in words is "eight hundred seventy-one trillion, sixty-five billion, eight hundred twenty-four million, two hundred fifty-six thousand, one hundred sixty-seven".