5130205200 has 480 divisors, whose sum is σ = 20074905600. Its totient is φ = 1238561280.

The previous prime is 5130205193. The next prime is 5130205207. The reversal of 5130205200 is 25020315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5130205193) and next prime (5130205207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5130205207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4719057 + ... + 4720143.

It is an arithmetic number, because the mean of its divisors is an integer number (41822720).

Almost surely, 2^5130205200 is an apocalyptic number.

5130205200 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 5130205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037452800).

5130205200 is an abundant number, since it is smaller than the sum of its proper divisors (14944700400).

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

5130205200 is a wasteful number, since it uses less digits than its factorization.

5130205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5130205200 is about 71625.4507839218. The cubic root of 5130205200 is about 1724.6921189652.

Adding to 5130205200 its reverse (25020315), we get a palindrome (5155225515).

The spelling of 5130205200 in words is "five billion, one hundred thirty million, two hundred five thousand, two hundred".