80071589682529 has 27 divisors (see below), whose sum is σ = 86486035042251. Its totient is φ = 74117471466240.

The previous prime is 80071589682517. The next prime is 80071589682547. The reversal of 80071589682529 is 92528698517008.

The square root of 80071589682529 is 8948273.

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

It can be written as a sum of positive squares in 13 ways, for example, as 41928020784225 + 38143568898304 = 6475185^2 + 6176048^2 .

It is not a de Polignac number, because 80071589682529 - 2²⁷ = 80071455464801 is a prime.

It is a super-2 number, since 2×80071589682529² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80071589622529) 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 26 ways as a sum of consecutive naturals, for example, 9279354787 + ... + 9279363415.

Almost surely, 2^{80071589682529} is an apocalyptic number.

80071589682529 is the 8948273-rd square number.

80071589682529 is the 4474137-th centered octagonal number.

It is an amenable number.

80071589682529 is a deficient number, since it is larger than the sum of its proper divisors (6414445359722).

80071589682529 is an frugal number, since it uses more digits than its factorization.

80071589682529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 70.

The spelling of 80071589682529 in words is "eighty trillion, seventy-one billion, five hundred eighty-nine million, six hundred eighty-two thousand, five hundred twenty-nine".