5124010000 has 100 divisors (see below), whose sum is σ = 12834251100. Its totient is φ = 1978816000.

The previous prime is 5124009997. The next prime is 5124010013. The reversal of 5124010000 is 104215.

It can be written as a sum of positive squares in 10 ways, for example, as 4515302416 + 608707584 = 67196^2 + 24672^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 281166 + ... + 298834.

It is an arithmetic number, because the mean of its divisors is an integer number (128342511).

Almost surely, 2^5124010000 is an apocalyptic number.

5124010000 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 5124010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417125550).

5124010000 is an abundant number, since it is smaller than the sum of its proper divisors (7710241100).

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

5124010000 is a wasteful number, since it uses less digits than its factorization.

5124010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5124010000 is about 71582.1905225036. The cubic root of 5124010000 is about 1723.9975972677.

Adding to 5124010000 its reverse (104215), we get a palindrome (5124114215).

The spelling of 5124010000 in words is "five billion, one hundred twenty-four million, ten thousand".