5006141130 has 128 divisors (see below), whose sum is σ = 13463801856. Its totient is φ = 1184691200.

The previous prime is 5006141117. The next prime is 5006141137. The reversal of 5006141130 is 311416005.

It is a super-2 number, since 2×5006141130² = 50122898026955353800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5006141097 and 5006141106.

It is not an unprimeable number, because it can be changed into a prime (5006141137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829825 + ... + 835835.

It is an arithmetic number, because the mean of its divisors is an integer number (105185952).

Almost surely, 2^5006141130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731900928).

5006141130 is an abundant number, since it is smaller than the sum of its proper divisors (8457660726).

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

5006141130 is a wasteful number, since it uses less digits than its factorization.

5006141130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5006141130 is about 70754.0891397805. The cubic root of 5006141130 is about 1710.6757392261.

Adding to 5006141130 its reverse (311416005), we get a palindrome (5317557135).

The spelling of 5006141130 in words is "five billion, six million, one hundred forty-one thousand, one hundred thirty".