5133220400 has 360 divisors, whose sum is σ = 16209609840. Its totient is φ = 1542912000.

The previous prime is 5133220399. The next prime is 5133220423. The reversal of 5133220400 is 40223315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6251990 + ... + 6252810.

It is an arithmetic number, because the mean of its divisors is an integer number (45026694).

Almost surely, 2^5133220400 is an apocalyptic number.

5133220400 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 5133220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104804920).

5133220400 is an abundant number, since it is smaller than the sum of its proper divisors (11076389440).

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

5133220400 is a wasteful number, since it uses less digits than its factorization.

5133220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5133220400 is about 71646.4960762213. The cubic root of 5133220400 is about 1725.0299399690.

Adding to 5133220400 its reverse (40223315), we get a palindrome (5173443715).

The spelling of 5133220400 in words is "five billion, one hundred thirty-three million, two hundred twenty thousand, four hundred".