5130002400 has 288 divisors, whose sum is σ = 17258145408. Its totient is φ = 1322956800.

The previous prime is 5130002351. The next prime is 5130002407. The reversal of 5130002400 is 42000315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5130002400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9808539 + ... + 9809061.

It is an arithmetic number, because the mean of its divisors is an integer number (59924116).

Almost surely, 2^5130002400 is an apocalyptic number.

5130002400 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 5130002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629072704).

5130002400 is an abundant number, since it is smaller than the sum of its proper divisors (12128143008).

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

5130002400 is a wasteful number, since it uses less digits than its factorization.

5130002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5130002400 is about 71624.0350720343. The cubic root of 5130002400 is about 1724.6693926377.

Adding to 5130002400 its reverse (42000315), we get a palindrome (5172002715).

The spelling of 5130002400 in words is "five billion, one hundred thirty million, two thousand, four hundred".