5314518000 has 640 divisors, whose sum is σ = 21727180800. Its totient is φ = 1229184000.

The previous prime is 5314517983. The next prime is 5314518037. The reversal of 5314518000 is 8154135.

5314518000 is a `hidden beast` number, since 531 + 4 + 51 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13661806 + ... + 13662194.

It is an arithmetic number, because the mean of its divisors is an integer number (33948720).

Almost surely, 2^5314518000 is an apocalyptic number.

5314518000 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 5314518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863590400).

5314518000 is an abundant number, since it is smaller than the sum of its proper divisors (16412662800).

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

5314518000 is a wasteful number, since it uses less digits than its factorization.

5314518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

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

The square root of 5314518000 is about 72900.7407369774. The cubic root of 5314518000 is about 1745.1039201609.

The spelling of 5314518000 in words is "five billion, three hundred fourteen million, five hundred eighteen thousand".