5131716000 has 192 divisors, whose sum is σ = 16864848000. Its totient is φ = 1364121600.

The previous prime is 5131715989. The next prime is 5131716011. The reversal of 5131716000 is 6171315.

It is an interprime number because it is at equal distance from previous prime (5131715989) and next prime (5131716011).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 5987572 + ... + 5988428.

It is an arithmetic number, because the mean of its divisors is an integer number (87837750).

Almost surely, 2^5131716000 is an apocalyptic number.

5131716000 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 5131716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432424000).

5131716000 is an abundant number, since it is smaller than the sum of its proper divisors (11733132000).

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

5131716000 is a wasteful number, since it uses less digits than its factorization.

5131716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 5131716000 is about 71635.9965380534. The cubic root of 5131716000 is about 1724.8614045338.

Adding to 5131716000 its reverse (6171315), we get a palindrome (5137887315).

The spelling of 5131716000 in words is "five billion, one hundred thirty-one million, seven hundred sixteen thousand".