71165056117 has 8 divisors (see below), whose sum is σ = 71502425280. Its totient is φ = 70828383360.

The previous prime is 71165056103. The next prime is 71165056129.

71165056117 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71165056117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71165056117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71165056517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31333 + ... + 378565.

It is an arithmetic number, because the mean of its divisors is an integer number (8937803160).

Almost surely, 2^71165056117 is an apocalyptic number.

It is an amenable number.

71165056117 is a deficient number, since it is larger than the sum of its proper divisors (337369163).

71165056117 is a wasteful number, since it uses less digits than its factorization.

71165056117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348203.

The product of its (nonzero) digits is 44100, while the sum is 40.

It can be divided in two parts, 711650 and 56117, that added together give a palindrome (767767).

The spelling of 71165056117 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, one hundred seventeen".