5113141000 has 256 divisors, whose sum is σ = 14212972800. Its totient is φ = 1700352000.

The previous prime is 5113140973. The next prime is 5113141001. The reversal of 5113141000 is 1413115.

It is a super-3 number, since 3×5113141000³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5113141001) 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, 6918631 + ... + 6919369.

It is an arithmetic number, because the mean of its divisors is an integer number (55519425).

Almost surely, 2^5113141000 is an apocalyptic number.

5113141000 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 5113141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106486400).

5113141000 is an abundant number, since it is smaller than the sum of its proper divisors (9099831800).

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

5113141000 is a wasteful number, since it uses less digits than its factorization.

5113141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 5113141000 is about 71506.2304977685. The cubic root of 5113141000 is about 1722.7777587320. Note that the first 4 decimals are identical.

Adding to 5113141000 its reverse (1413115), we get a palindrome (5114554115).

The spelling of 5113141000 in words is "five billion, one hundred thirteen million, one hundred forty-one thousand".