5087313000 has 512 divisors, whose sum is σ = 21996748800. Its totient is φ = 1056672000.

The previous prime is 5087312977. The next prime is 5087313017. The reversal of 5087313000 is 3137805.

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

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, 2077777 + ... + 2080223.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 2^5087313000 is an apocalyptic number.

5087313000 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 5087313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998374400).

5087313000 is an abundant number, since it is smaller than the sum of its proper divisors (16909435800).

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

5087313000 is a wasteful number, since it uses less digits than its factorization.

5087313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5087313000 is about 71325.4022070679. The cubic root of 5087313000 is about 1719.8721060484.

The spelling of 5087313000 in words is "five billion, eighty-seven million, three hundred thirteen thousand".