5220251200 has 336 divisors, whose sum is σ = 14477073408. Its totient is φ = 1843200000.

The previous prime is 5220251177. The next prime is 5220251209. The reversal of 5220251200 is 21520225.

It is a super-2 number, since 2×5220251200² = 54502045182202880000, which contains 22 as substring.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220251209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34571125 + ... + 34571275.

It is an arithmetic number, because the mean of its divisors is an integer number (43086528).

Almost surely, 2^5220251200 is an apocalyptic number.

5220251200 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 5220251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238536704).

5220251200 is an abundant number, since it is smaller than the sum of its proper divisors (9256822208).

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

5220251200 is a wasteful number, since it uses less digits than its factorization.

5220251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5220251200 is about 72251.3058705516. The cubic root of 5220251200 is about 1734.7243206566.

Adding to 5220251200 its reverse (21520225), we get a palindrome (5241771425).

The spelling of 5220251200 in words is "five billion, two hundred twenty million, two hundred fifty-one thousand, two hundred".