71057047617 has 12 divisors (see below), whose sum is σ = 102862554340. Its totient is φ = 47267705088.

The previous prime is 71057047591. The next prime is 71057047631. The reversal of 71057047617 is 71674075017.

71057047617 is a `hidden beast` number, since 7 + 1 + 0 + 570 + 4 + 76 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30977408016 + 40079639601 = 176004^2 + 200199^2 .

It is not a de Polignac number, because 71057047617 - 2⁶ = 71057047553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71057047657) 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 in 11 ways as a sum of consecutive naturals, for example, 8633992 + ... + 8642217.

Almost surely, 2^71057047617 is an apocalyptic number.

It is an amenable number.

71057047617 is a deficient number, since it is larger than the sum of its proper divisors (31805506723).

71057047617 is a wasteful number, since it uses less digits than its factorization.

71057047617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17276672 (or 17276669 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 71057047617 in words is "seventy-one billion, fifty-seven million, forty-seven thousand, six hundred seventeen".