871658723009 has 2 divisors, whose sum is σ = 871658723010. Its totient is φ = 871658723008.

The previous prime is 871658722943. The next prime is 871658723041. The reversal of 871658723009 is 900327856178.

871658723009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 816984592384 + 54674130625 = 903872^2 + 233825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-871658723009 is a prime.

It is not a weakly prime, because it can be changed into another prime (871658723059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435829361504 + 435829361505.

It is an arithmetic number, because the mean of its divisors is an integer number (435829361505).

Almost surely, 2^871658723009 is an apocalyptic number.

It is an amenable number.

871658723009 is a deficient number, since it is larger than the sum of its proper divisors (1).

871658723009 is an equidigital number, since it uses as much as digits as its factorization.

871658723009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 871658723009 in words is "eight hundred seventy-one billion, six hundred fifty-eight million, seven hundred twenty-three thousand, nine".