32505332004 has 36 divisors (see below), whose sum is σ = 82183601500. Its totient is φ = 10832823360.

The previous prime is 32505331997. The next prime is 32505332009. The reversal of 32505332004 is 40023350523.

32505332004 is a `hidden beast` number, since 325 + 0 + 5 + 332 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27806229504 + 4699102500 = 166752^2 + 68550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (32505332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82122 + ... + 267870.

Almost surely, 2^32505332004 is an apocalyptic number.

It is an amenable number.

32505332004 is an abundant number, since it is smaller than the sum of its proper divisors (49678269496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32505332004 is a wasteful number, since it uses less digits than its factorization.

32505332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190620 (or 190615 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 32505332004 its reverse (40023350523), we get a palindrome (72528682527).

The spelling of 32505332004 in words is "thirty-two billion, five hundred five million, three hundred thirty-two thousand, four".