8085735516071 has 2 divisors, whose sum is σ = 8085735516072. Its totient is φ = 8085735516070.

The previous prime is 8085735515939. The next prime is 8085735516101. The reversal of 8085735516071 is 1706155375808.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8085735516071 - 2¹⁰ = 8085735515047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8085735515998 and 8085735516016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8085735816071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042867758035 + 4042867758036.

It is an arithmetic number, because the mean of its divisors is an integer number (4042867758036).

Almost surely, 2^{8085735516071} is an apocalyptic number.

8085735516071 is a deficient number, since it is larger than the sum of its proper divisors (1).

8085735516071 is an equidigital number, since it uses as much as digits as its factorization.

8085735516071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 56.

The spelling of 8085735516071 in words is "eight trillion, eighty-five billion, seven hundred thirty-five million, five hundred sixteen thousand, seventy-one".