32609844513009 has 9 divisors (see below), whose sum is σ = 47103133486539. Its totient is φ = 21739884921000.

The previous prime is 32609844512977. The next prime is 32609844513067. The reversal of 32609844513009 is 90031544890623.

The square root of 32609844513009 is 5710503.

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

32609844513009 is a `hidden beast` number, since 3 + 2 + 60 + 9 + 8 + 445 + 130 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31547914263009 + 1061930250000 = 5616753^2 + 1030500^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 32609844513009 - 2⁵ = 32609844512977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32609844513079) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16179759 + ... + 18083259.

Almost surely, 2^{32609844513009} is an apocalyptic number.

32609844513009 is the 5710503-rd square number.

32609844513009 is the 2855252-nd centered octagonal number.

It is an amenable number.

32609844513009 is a deficient number, since it is larger than the sum of its proper divisors (14493288973530).

32609844513009 is an frugal number, since it uses more digits than its factorization.

32609844513009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807008 (or 1903504 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 32609844513009 in words is "thirty-two trillion, six hundred nine billion, eight hundred forty-four million, five hundred thirteen thousand, nine".