5206385000 has 160 divisors (see below), whose sum is σ = 12664852200. Its totient is φ = 2004480000.

The previous prime is 5206384991. The next prime is 5206385017. The reversal of 5206385000 is 5836025.

It can be written as a sum of positive squares in 20 ways, for example, as 3762840964 + 1443544036 = 61342^2 + 37994^2 .

It is a super-3 number, since 3×5206385000³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22344884 + ... + 22345116.

Almost surely, 2^5206385000 is an apocalyptic number.

5206385000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332426100).

5206385000 is an abundant number, since it is smaller than the sum of its proper divisors (7458467200).

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

5206385000 is a wasteful number, since it uses less digits than its factorization.

5206385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5206385000 is about 72155.2839367984. The cubic root of 5206385000 is about 1733.1870150980.

The spelling of 5206385000 in words is "five billion, two hundred six million, three hundred eighty-five thousand".