71011017 has 48 divisors (see below), whose sum is σ = 130910208. Its totient is φ = 36015840.

The previous prime is 71011013. The next prime is 71011019.

71011017 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71011017 - 2² = 71011013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28608 + ... + 30990.

It is an arithmetic number, because the mean of its divisors is an integer number (2727296).

Almost surely, 2^71011017 is an apocalyptic number.

71011017 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71011017 is a deficient number, since it is larger than the sum of its proper divisors (59899191).

71011017 is a wasteful number, since it uses less digits than its factorization.

71011017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The square root of 71011017 is about 8426.8034864947. The cubic root of 71011017 is about 414.1031913882.

It can be divided in two parts, 7101 and 1017, that added together give a palindrome (8118).

The spelling of 71011017 in words is "seventy-one million, eleven thousand, seventeen".