5312563200 has 864 divisors, whose sum is σ = 22919158080. Its totient is φ = 1194393600.

The previous prime is 5312563199. The next prime is 5312563213. The reversal of 5312563200 is 23652135.

5312563200 is a `hidden beast` number, since 5 + 3 + 1 + 25 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 87091170 + ... + 87091230.

Almost surely, 2^5312563200 is an apocalyptic number.

5312563200 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 5312563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459579040).

5312563200 is an abundant number, since it is smaller than the sum of its proper divisors (17606594880).

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

5312563200 is an equidigital number, since it uses as much as digits as its factorization.

5312563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5312563200 is about 72887.3322327001. The cubic root of 5312563200 is about 1744.8899310163.

The spelling of 5312563200 in words is "five billion, three hundred twelve million, five hundred sixty-three thousand, two hundred".