5032051200 has 810 divisors, whose sum is σ = 20890907037. Its totient is φ = 1155686400.

The previous prime is 5032051183. The next prime is 5032051207. The reversal of 5032051200 is 21502305.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4931410176 + 100641024 = 70224^2 + 10032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=50160.

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 (5032051207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 264844791 + ... + 264844809.

Almost surely, 2^5032051200 is an apocalyptic number.

5032051200 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 5032051200

5032051200 is an abundant number, since it is smaller than the sum of its proper divisors (15858855837).

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

5032051200 is a wasteful number, since it uses less digits than its factorization.

5032051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5032051200 is about 70936.9522886344. The cubic root of 5032051200 is about 1713.6219525522.

Multiplying 5032051200 by its sum of digits (18), we get a square (90576921600 = 300960²).

5032051200 divided by its sum of digits (18) gives a square (279558400 = 16720²).

Adding to 5032051200 its reverse (21502305), we get a palindrome (5053553505).

It can be divided in two parts, 503205 and 1200, that added together give a palindrome (504405).

The spelling of 5032051200 in words is "five billion, thirty-two million, fifty-one thousand, two hundred".