71806313089 has 9 divisors (see below), whose sum is σ = 83531974851. Its totient is φ = 61546660560.

The previous prime is 71806313087. The next prime is 71806313101. The reversal of 71806313089 is 98031360817.

The square root of 71806313089 is 267967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69898370689 + 1907942400 = 264383^2 + 43680^2 .

It is not a de Polignac number, because 71806313089 - 2¹ = 71806313087 is a prime.

It is a super-2 number, since 2×71806313089² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71806313087) 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 8 ways as a sum of consecutive naturals, for example, 1856629 + ... + 1894909.

It is an arithmetic number, because the mean of its divisors is an integer number (9281330539).

Almost surely, 2^71806313089 is an apocalyptic number.

71806313089 is the 267967-th square number.

71806313089 is the 133984-th centered octagonal number.

It is an amenable number.

71806313089 is a deficient number, since it is larger than the sum of its proper divisors (11725661762).

71806313089 is an frugal number, since it uses more digits than its factorization.

71806313089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76576 (or 38288 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 71806313089 in words is "seventy-one billion, eight hundred six million, three hundred thirteen thousand, eighty-nine".