5206775200 has 324 divisors, whose sum is σ = 14844655350. Its totient is φ = 1781683200.

The previous prime is 5206775183. The next prime is 5206775209. The reversal of 5206775200 is 25776025.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2773918224 + 2432856976 = 52668^2 + 49324^2 .

It is a super-2 number, since 2×5206775200² = 54221015966670080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5206775209) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 34944726 + ... + 34944874.

Almost surely, 2^5206775200 is an apocalyptic number.

5206775200 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 5206775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422327675).

5206775200 is an abundant number, since it is smaller than the sum of its proper divisors (9637880150).

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

5206775200 is a wasteful number, since it uses less digits than its factorization.

5206775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 5206775200 is about 72157.9877768220. The cubic root of 5206775200 is about 1733.2303127463.

The spelling of 5206775200 in words is "five billion, two hundred six million, seven hundred seventy-five thousand, two hundred".