5130342400 has 78 divisors (see below), whose sum is σ = 12721949942. Its totient is φ = 2052096000.

The previous prime is 5130342383. The next prime is 5130342401. The reversal of 5130342400 is 42430315.

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 5119688704 = 3264^2 + 71552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77350 + ... + 127450.

Almost surely, 2^5130342400 is an apocalyptic number.

5130342400 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 5130342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360974971).

5130342400 is an abundant number, since it is smaller than the sum of its proper divisors (7591607542).

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

5130342400 is an equidigital number, since it uses as much as digits as its factorization.

5130342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50135 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5130342400 is about 71626.4085376337. The cubic root of 5130342400 is about 1724.7074936360.

Adding to 5130342400 its reverse (42430315), we get a palindrome (5172772715).

The spelling of 5130342400 in words is "five billion, one hundred thirty million, three hundred forty-two thousand, four hundred".