71131056751017 has 20 divisors (see below), whose sum is σ = 107451409085460. Its totient is φ = 46887887591424.

The previous prime is 71131056750997. The next prime is 71131056751063. The reversal of 71131056751017 is 71015765013117.

71131056751017 is a `hidden beast` number, since 7 + 1 + 1 + 31 + 0 + 567 + 51 + 0 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26944446166416 + 44186610584601 = 5190804^2 + 6647301^2 .

It is not a de Polignac number, because 71131056751017 - 2²⁴ = 71131039973801 is a prime.

It is a super-2 number, since 2×71131056751017² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71131056751067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4933482648 + ... + 4933497065.

It is an arithmetic number, because the mean of its divisors is an integer number (5372570454273).

Almost surely, 2^{71131056751017} is an apocalyptic number.

It is an amenable number.

71131056751017 is a deficient number, since it is larger than the sum of its proper divisors (36320352334443).

71131056751017 is an equidigital number, since it uses as much as digits as its factorization.

71131056751017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866979814 (or 9866979805 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 71131056751017 in words is "seventy-one trillion, one hundred thirty-one billion, fifty-six million, seven hundred fifty-one thousand, seventeen".