5013815040 has 216 divisors, whose sum is σ = 18682241760. Its totient is φ = 1234132992.

The previous prime is 5013814997. The next prime is 5013815041. The reversal of 5013815040 is 405183105.

5013815040 is a `hidden beast` number, since 501 + 3 + 8 + 150 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5013814995 and 5013815013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013815041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133021 + ... + 166499.

It is an arithmetic number, because the mean of its divisors is an integer number (86491860).

Almost surely, 2^5013815040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

5013815040 is an abundant number, since it is smaller than the sum of its proper divisors (13668426720).

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

5013815040 is a wasteful number, since it uses less digits than its factorization.

5013815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33519 (or 33502 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5013815040 is about 70808.2978188291. The cubic root of 5013815040 is about 1711.5493908258.

Adding to 5013815040 its reverse (405183105), we get a palindrome (5418998145).

The spelling of 5013815040 in words is "five billion, thirteen million, eight hundred fifteen thousand, forty".