5187312000 has 768 divisors, whose sum is σ = 21372361920. Its totient is φ = 1194393600.

The previous prime is 5187311993. The next prime is 5187312019. The reversal of 5187312000 is 2137815.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 31823919 + ... + 31824081.

Almost surely, 2^5187312000 is an apocalyptic number.

5187312000 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 5187312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686180960).

5187312000 is an abundant number, since it is smaller than the sum of its proper divisors (16185049920).

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

5187312000 is a wasteful number, since it uses less digits than its factorization.

5187312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5187312000 is about 72022.9963275619. The cubic root of 5187312000 is about 1731.0679807941.

Adding to 5187312000 its reverse (2137815), we get a palindrome (5189449815).

The spelling of 5187312000 in words is "five billion, one hundred eighty-seven million, three hundred twelve thousand".