5301300 has 72 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1376000.

The previous prime is 5301269. The next prime is 5301301. The reversal of 5301300 is 31035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12085 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^5301300 is an apocalyptic number.

5301300 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 5301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5301300 is an abundant number, since it is smaller than the sum of its proper divisors (10447692).

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

5301300 is a wasteful number, since it uses less digits than its factorization.

5301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 5301300 is about 2302.4552112908. The cubic root of 5301300 is about 174.3655941022.

Adding to 5301300 its reverse (31035), we get a palindrome (5332335).

It can be divided in two parts, 530 and 1300, that added together give a triangular number (1830 = T₆₀).

The spelling of 5301300 in words is "five million, three hundred one thousand, three hundred".