71138083117 has 2 divisors, whose sum is σ = 71138083118. Its totient is φ = 71138083116.

The previous prime is 71138083061. The next prime is 71138083123.

71138083117 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., 53382254116 + 17755829001 = 231046^2 + 133251^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71138083117 is a prime.

It is a super-2 number, since 2×71138083117² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71138083117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71138083147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35569041558 + 35569041559.

It is an arithmetic number, because the mean of its divisors is an integer number (35569041559).

Almost surely, 2^71138083117 is an apocalyptic number.

It is an amenable number.

71138083117 is a deficient number, since it is larger than the sum of its proper divisors (1).

71138083117 is an equidigital number, since it uses as much as digits as its factorization.

71138083117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 40.

It can be divided in two parts, 711380 and 83117, that added together give a palindrome (794497).

The spelling of 71138083117 in words is "seventy-one billion, one hundred thirty-eight million, eighty-three thousand, one hundred seventeen".