5317632000 has 336 divisors, whose sum is σ = 19203890472. Its totient is φ = 1415577600.

The previous prime is 5317631989. The next prime is 5317632013. The reversal of 5317632000 is 2367135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3384446976 + 1933185024 = 58176^2 + 43968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215712 + ... + 9216288.

Almost surely, 2^5317632000 is an apocalyptic number.

5317632000 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 5317632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601945236).

5317632000 is an abundant number, since it is smaller than the sum of its proper divisors (13886258472).

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

5317632000 is an equidigital number, since it uses as much as digits as its factorization.

5317632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5317632000 is about 72922.0954169585. The cubic root of 5317632000 is about 1745.4446969141. Note that the first 3 decimals are identical.

Adding to 5317632000 its reverse (2367135), we get a palindrome (5319999135).

The spelling of 5317632000 in words is "five billion, three hundred seventeen million, six hundred thirty-two thousand".