5206306032 has 120 divisors (see below), whose sum is σ = 15623375040. Its totient is φ = 1612615680.

The previous prime is 5206306009. The next prime is 5206306051. The reversal of 5206306032 is 2306036025.

5206306032 is a `hidden beast` number, since 5 + 20 + 6 + 30 + 603 + 2 = 666.

It is a super-3 number, since 3×5206306032³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5206305987 and 5206306005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179932 + ... + 206852.

It is an arithmetic number, because the mean of its divisors is an integer number (130194792).

Almost surely, 2^5206306032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206306032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811687520).

5206306032 is an abundant number, since it is smaller than the sum of its proper divisors (10417069008).

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

5206306032 is a wasteful number, since it uses less digits than its factorization.

5206306032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27031 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5206306032 is about 72154.7367260113. The cubic root of 5206306032 is about 1733.1782523318.

The spelling of 5206306032 in words is "five billion, two hundred six million, three hundred six thousand, thirty-two".