5319133600 has 288 divisors, whose sum is σ = 15439636800. Its totient is φ = 1767628800.

The previous prime is 5319133559. The next prime is 5319133609. The reversal of 5319133600 is 63319135.

It is not an unprimeable number, because it can be changed into a prime (5319133609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4848252 + ... + 4849348.

It is an arithmetic number, because the mean of its divisors is an integer number (53609850).

Almost surely, 2^5319133600 is an apocalyptic number.

5319133600 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 5319133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719818400).

5319133600 is an abundant number, since it is smaller than the sum of its proper divisors (10120503200).

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

5319133600 is a wasteful number, since it uses less digits than its factorization.

5319133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 5319133600 is about 72932.3906093856. The cubic root of 5319133600 is about 1745.6089751174.

The spelling of 5319133600 in words is "five billion, three hundred nineteen million, one hundred thirty-three thousand, six hundred".