5131315800 has 288 divisors, whose sum is σ = 18747237600. Its totient is φ = 1250242560.

The previous prime is 5131315793. The next prime is 5131315841. The reversal of 5131315800 is 85131315.

5131315800 is a `hidden beast` number, since 51 + 3 + 1 + 31 + 580 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2409136 + ... + 2411264.

It is an arithmetic number, because the mean of its divisors is an integer number (65094575).

Almost surely, 2^5131315800 is an apocalyptic number.

5131315800 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 5131315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373618800).

5131315800 is an abundant number, since it is smaller than the sum of its proper divisors (13615921800).

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

5131315800 is a wasteful number, since it uses less digits than its factorization.

5131315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5131315800 is about 71633.2031951664. The cubic root of 5131315800 is about 1724.8165652455.

The spelling of 5131315800 in words is "five billion, one hundred thirty-one million, three hundred fifteen thousand, eight hundred".