5133811200 has 480 divisors, whose sum is σ = 19728023040. Its totient is φ = 1152614400.

The previous prime is 5133811121. The next prime is 5133811219. The reversal of 5133811200 is 21183315.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19084666 + ... + 19084934.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^5133811200 is an apocalyptic number.

5133811200 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 5133811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

5133811200 is an abundant number, since it is smaller than the sum of its proper divisors (14594211840).

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

5133811200 is a wasteful number, since it uses less digits than its factorization.

5133811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5133811200 is about 71650.6189784848. The cubic root of 5133811200 is about 1725.0961173075.

Adding to 5133811200 its reverse (21183315), we get a palindrome (5154994515).

The spelling of 5133811200 in words is "five billion, one hundred thirty-three million, eight hundred eleven thousand, two hundred".