5141315200 has 144 divisors (see below), whose sum is σ = 14774682150. Its totient is φ = 1762682880.

The previous prime is 5141315183. The next prime is 5141315213. The reversal of 5141315200 is 25131415.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3787663936 + 1353651264 = 61544^2 + 36792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140406 + ... + 173194.

Almost surely, 2^5141315200 is an apocalyptic number.

5141315200 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 5141315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387341075).

5141315200 is an abundant number, since it is smaller than the sum of its proper divisors (9633366950).

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

5141315200 is a wasteful number, since it uses less digits than its factorization.

5141315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32827 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5141315200 is about 71702.9650711880. The cubic root of 5141315200 is about 1725.9362221640.

Adding to 5141315200 its reverse (25131415), we get a palindrome (5166446615).

The spelling of 5141315200 in words is "five billion, one hundred forty-one million, three hundred fifteen thousand, two hundred".