71258685217 has 2 divisors, whose sum is σ = 71258685218. Its totient is φ = 71258685216.

The previous prime is 71258685193. The next prime is 71258685221.

71258685217 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., 61896961681 + 9361723536 = 248791^2 + 96756^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 71258685217 - 2¹⁹ = 71258160929 is a prime.

It is not a weakly prime, because it can be changed into another prime (71258680217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35629342608 + 35629342609.

It is an arithmetic number, because the mean of its divisors is an integer number (35629342609).

Almost surely, 2^71258685217 is an apocalyptic number.

It is an amenable number.

71258685217 is a deficient number, since it is larger than the sum of its proper divisors (1).

71258685217 is an equidigital number, since it uses as much as digits as its factorization.

71258685217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1881600, while the sum is 52.

The spelling of 71258685217 in words is "seventy-one billion, two hundred fifty-eight million, six hundred eighty-five thousand, two hundred seventeen".