5019813000 has 320 divisors, whose sum is σ = 18160599600. Its totient is φ = 1291852800.

The previous prime is 5019812929. The next prime is 5019813011. The reversal of 5019813000 is 3189105.

It can be written as a sum of positive squares in 8 ways, for example, as 43639236 + 4976173764 = 6606^2 + 70542^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2347932 + ... + 2350068.

Almost surely, 2^5019813000 is an apocalyptic number.

5019813000 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 5019813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080299800).

5019813000 is an abundant number, since it is smaller than the sum of its proper divisors (13140786600).

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

5019813000 is a wasteful number, since it uses less digits than its factorization.

5019813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5019813000 is about 70850.6386703747. The cubic root of 5019813000 is about 1712.2316200801.

The spelling of 5019813000 in words is "five billion, nineteen million, eight hundred thirteen thousand".