5205538688 has 32 divisors (see below), whose sum is σ = 11851898160. Its totient is φ = 2230944768.

The previous prime is 5205538673. The next prime is 5205538697. The reversal of 5205538688 is 8868355025.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×5205538688³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2903981 + ... + 2905772.

Almost surely, 2^5205538688 is an apocalyptic number.

It is an amenable number.

5205538688 is an abundant number, since it is smaller than the sum of its proper divisors (6646359472).

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

5205538688 is an equidigital number, since it uses as much as digits as its factorization.

5205538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809774 (or 5809762 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

The square root of 5205538688 is about 72149.4191799213. The cubic root of 5205538688 is about 1733.0930985926.

The spelling of 5205538688 in words is "five billion, two hundred five million, five hundred thirty-eight thousand, six hundred eighty-eight".