5301345200 has 120 divisors (see below), whose sum is σ = 13159626480. Its totient is φ = 2050790400.

The previous prime is 5301345199. The next prime is 5301345221. The reversal of 5301345200 is 25431035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677811 + ... + 2679789.

It is an arithmetic number, because the mean of its divisors is an integer number (109663554).

Almost surely, 2^5301345200 is an apocalyptic number.

5301345200 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 5301345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579813240).

5301345200 is an abundant number, since it is smaller than the sum of its proper divisors (7858281280).

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

5301345200 is a wasteful number, since it uses less digits than its factorization.

5301345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 5301345200 is about 72810.3371781782. The cubic root of 5301345200 is about 1743.6608966002.

Adding to 5301345200 its reverse (25431035), we get a palindrome (5326776235).

The spelling of 5301345200 in words is "five billion, three hundred one million, three hundred forty-five thousand, two hundred".