71662626617 has 2 divisors, whose sum is σ = 71662626618. Its totient is φ = 71662626616.

The previous prime is 71662626601. The next prime is 71662626619.

71662626617 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48166641961 + 23495984656 = 219469^2 + 153284^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 71662626617 - 2⁴ = 71662626601 is a prime.

Together with 71662626619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71662626619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35831313308 + 35831313309.

It is an arithmetic number, because the mean of its divisors is an integer number (35831313309).

Almost surely, 2^71662626617 is an apocalyptic number.

It is an amenable number.

71662626617 is a deficient number, since it is larger than the sum of its proper divisors (1).

71662626617 is an equidigital number, since it uses as much as digits as its factorization.

71662626617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1524096, while the sum is 50.

The spelling of 71662626617 in words is "seventy-one billion, six hundred sixty-two million, six hundred twenty-six thousand, six hundred seventeen".