71095834916257 has 8 divisors (see below), whose sum is σ = 72347404762080. Its totient is φ = 69845816927040.

The previous prime is 71095834916213. The next prime is 71095834916261. The reversal of 71095834916257 is 75261943859017.

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-71095834916257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71095834916192 and 71095834916201.

It is not an unprimeable number, because it can be changed into a prime (71095234916257) 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, 387871719 + ... + 388054972.

It is an arithmetic number, because the mean of its divisors is an integer number (9043425595260).

It is a 1-persistent number, because it is pandigital, but 2⋅71095834916257 = 142191669832514 is not.

Almost surely, 2^{71095834916257} is an apocalyptic number.

It is an amenable number.

71095834916257 is a deficient number, since it is larger than the sum of its proper divisors (1251569845823).

71095834916257 is a wasteful number, since it uses less digits than its factorization.

71095834916257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775928303.

The product of its (nonzero) digits is 114307200, while the sum is 67.

The spelling of 71095834916257 in words is "seventy-one trillion, ninety-five billion, eight hundred thirty-four million, nine hundred sixteen thousand, two hundred fifty-seven".