5133300 has 72 divisors (see below), whose sum is σ = 15124032. Its totient is φ = 1344000.

The previous prime is 5133299. The next prime is 5133307. The reversal of 5133300 is 33315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133307) 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 23 ways as a sum of consecutive naturals, for example, 21180 + ... + 21420.

It is an arithmetic number, because the mean of its divisors is an integer number (210056).

Almost surely, 2^5133300 is an apocalyptic number.

5133300 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 5133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

5133300 is an abundant number, since it is smaller than the sum of its proper divisors (9990732).

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

5133300 is a wasteful number, since it uses less digits than its factorization.

5133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 5133300 is about 2265.6787062600. The cubic root of 5133300 is about 172.5038856508.

Adding to 5133300 its sum of digits (15), we get a palindrome (5133315).

Adding to 5133300 its reverse (33315), we get a palindrome (5166615).

The spelling of 5133300 in words is "five million, one hundred thirty-three thousand, three hundred".