5250400200 has 144 divisors (see below), whose sum is σ = 17653334400. Its totient is φ = 1398460800.

The previous prime is 5250400163. The next prime is 5250400201. The reversal of 5250400200 is 20040525.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5250400201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2805265 + ... + 2807135.

It is an arithmetic number, because the mean of its divisors is an integer number (122592600).

Almost surely, 2^5250400200 is an apocalyptic number.

5250400200 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 5250400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826667200).

5250400200 is an abundant number, since it is smaller than the sum of its proper divisors (12402934200).

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

5250400200 is a wasteful number, since it uses less digits than its factorization.

5250400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5250400200 is about 72459.6453206887. The cubic root of 5250400200 is about 1738.0574834120.

Adding to 5250400200 its reverse (20040525), we get a palindrome (5270440725).

It can be divided in two parts, 5250 and 400200, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 5250400200 in words is "five billion, two hundred fifty million, four hundred thousand, two hundred".