82132108569 has 45 divisors (see below), whose sum is σ = 142753768047. Its totient is φ = 46922316336.

The previous prime is 82132108561. The next prime is 82132108577. The reversal of 82132108569 is 96580123128.

The square root of 82132108569 is 286587.

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

82132108569 is a `hidden beast` number, since 82 + 1 + 3 + 2 + 1 + 0 + 8 + 569 = 666.

It is an interprime number because it is at equal distance from previous prime (82132108561) and next prime (82132108577).

It can be written as a sum of positive squares in only one way, i.e., 60399452169 + 21732656400 = 245763^2 + 147420^2 .

It is not a de Polignac number, because 82132108569 - 2³ = 82132108561 is a prime.

It is a super-2 number, since 2×82132108569² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82132108561) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18052707 + ... + 18057255.

Almost surely, 2^82132108569 is an apocalyptic number.

82132108569 is the 286587-th square number.

82132108569 is the 143294-th centered octagonal number.

It is an amenable number.

82132108569 is a deficient number, since it is larger than the sum of its proper divisors (60621659478).

82132108569 is an frugal number, since it uses more digits than its factorization.

82132108569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 82132108569 in words is "eighty-two billion, one hundred thirty-two million, one hundred eight thousand, five hundred sixty-nine".