5214312000 has 168 divisors, whose sum is σ = 18652720632. Its totient is φ = 1390464000.

The previous prime is 5214311957. The next prime is 5214312013. The reversal of 5214312000 is 2134125.

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 5104816704 = 10464^2 + 71448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35790 + ... + 108210.

It is an arithmetic number, because the mean of its divisors is an integer number (111028099).

Almost surely, 2^5214312000 is an apocalyptic number.

5214312000 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 5214312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326360316).

5214312000 is an abundant number, since it is smaller than the sum of its proper divisors (13438408632).

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

5214312000 is a wasteful number, since it uses less digits than its factorization.

5214312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72454 (or 72431 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5214312000 is about 72210.1931862808. The cubic root of 5214312000 is about 1734.0661924022.

Adding to 5214312000 its reverse (2134125), we get a palindrome (5216446125).

The spelling of 5214312000 in words is "five billion, two hundred fourteen million, three hundred twelve thousand".