71216577561217 has 16 divisors (see below), whose sum is σ = 80338119233472. Its totient is φ = 62572718070720.

The previous prime is 71216577561191. The next prime is 71216577561287.

71216577561217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71216577561217 - 2¹⁵ = 71216577528449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71216577561287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911568138 + ... + 911646259.

It is an arithmetic number, because the mean of its divisors is an integer number (5021132452092).

Almost surely, 2^{71216577561217} is an apocalyptic number.

It is an amenable number.

71216577561217 is a deficient number, since it is larger than the sum of its proper divisors (9121541672255).

71216577561217 is a wasteful number, since it uses less digits than its factorization.

71216577561217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823214528.

The product of its digits is 8643600, while the sum is 58.

The spelling of 71216577561217 in words is "seventy-one trillion, two hundred sixteen billion, five hundred seventy-seven million, five hundred sixty-one thousand, two hundred seventeen".