132804581183569 has 9 divisors (see below), whose sum is σ = 133156660211803. Its totient is φ = 132453430728592.

The previous prime is 132804581183551. The next prime is 132804581183587. The reversal of 132804581183569 is 965381185408231.

The square root of 132804581183569 is 11524087.

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

It is an interprime number because it is at equal distance from previous prime (132804581183551) and next prime (132804581183587).

It can be written as a sum of positive squares in only one way, i.e., 65375520473169 + 67429060710400 = 8085513^2 + 8211520^2 .

It is not a de Polignac number, because 132804581183569 - 2¹⁷ = 132804581052497 is a prime.

It is a super-2 number, since 2×132804581183569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132804581183569.

It is not an unprimeable number, because it can be changed into a prime (132804581183969) 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 8 ways as a sum of consecutive naturals, for example, 4413710277 + ... + 4413740365.

Almost surely, 2^{132804581183569} is an apocalyptic number.

132804581183569 is the 11524087-th square number.

132804581183569 is the 5762044-th centered octagonal number.

It is an amenable number.

132804581183569 is a deficient number, since it is larger than the sum of its proper divisors (352079028234).

132804581183569 is an frugal number, since it uses more digits than its factorization.

132804581183569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60944 (or 30472 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 64.

The spelling of 132804581183569 in words is "one hundred thirty-two trillion, eight hundred four billion, five hundred eighty-one million, one hundred eighty-three thousand, five hundred sixty-nine".