5133181200 has 180 divisors, whose sum is σ = 19128128400. Its totient is φ = 1173285120.

The previous prime is 5133181153. The next prime is 5133181211. The reversal of 5133181200 is 21813315.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15151 + ... + 102449.

It is an arithmetic number, because the mean of its divisors is an integer number (106267380).

Almost surely, 2^5133181200 is an apocalyptic number.

5133181200 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 5133181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564064200).

5133181200 is an abundant number, since it is smaller than the sum of its proper divisors (13994947200).

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

5133181200 is a wasteful number, since it uses less digits than its factorization.

5133181200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87334 (or 87316 counting only the distinct ones).

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

The square root of 5133181200 is about 71646.2225103320. Note that the first 3 decimals coincide. The cubic root of 5133181200 is about 1725.0255488760.

Adding to 5133181200 its reverse (21813315), we get a palindrome (5154994515).

The spelling of 5133181200 in words is "five billion, one hundred thirty-three million, one hundred eighty-one thousand, two hundred".