5181312000 has 352 divisors, whose sum is σ = 17535158784. Its totient is φ = 1357824000.

The previous prime is 5181311977. The next prime is 5181312013. The reversal of 5181312000 is 2131815.

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 31 ways as a sum of consecutive naturals, for example, 39551935 + ... + 39552065.

It is an arithmetic number, because the mean of its divisors is an integer number (49815792).

Almost surely, 2^5181312000 is an apocalyptic number.

5181312000 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 5181312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767579392).

5181312000 is an abundant number, since it is smaller than the sum of its proper divisors (12353846784).

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

5181312000 is a wasteful number, since it uses less digits than its factorization.

5181312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5181312000 is about 71981.3309129527. The cubic root of 5181312000 is about 1730.4002994077.

Adding to 5181312000 its reverse (2131815), we get a palindrome (5183443815).

The spelling of 5181312000 in words is "five billion, one hundred eighty-one million, three hundred twelve thousand".