71312164809961 has 2 divisors, whose sum is σ = 71312164809962. Its totient is φ = 71312164809960.

The previous prime is 71312164809947. The next prime is 71312164810063. The reversal of 71312164809961 is 16990846121317.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70772579070736 + 539585739225 = 8412644^2 + 734565^2 .

It is a cyclic number.

It is not a de Polignac number, because 71312164809961 - 2⁷ = 71312164809833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71312164809896 and 71312164809905.

It is not a weakly prime, because it can be changed into another prime (71312164809461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35656082404980 + 35656082404981.

It is an arithmetic number, because the mean of its divisors is an integer number (35656082404981).

Almost surely, 2^{71312164809961} is an apocalyptic number.

It is an amenable number.

71312164809961 is a deficient number, since it is larger than the sum of its proper divisors (1).

71312164809961 is an equidigital number, since it uses as much as digits as its factorization.

71312164809961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 71312164809961 in words is "seventy-one trillion, three hundred twelve billion, one hundred sixty-four million, eight hundred nine thousand, nine hundred sixty-one".