5241504000 has 288 divisors, whose sum is σ = 17677820160. Its totient is φ = 1376256000.

The previous prime is 5241503941. The next prime is 5241504007. The reversal of 5241504000 is 4051425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241504007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815616 + ... + 6816384.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^5241504000 is an apocalyptic number.

5241504000 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 5241504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838910080).

5241504000 is an abundant number, since it is smaller than the sum of its proper divisors (12436316160).

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

5241504000 is an equidigital number, since it uses as much as digits as its factorization.

5241504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5241504000 is about 72398.2320226123. The cubic root of 5241504000 is about 1737.0752822118.

Adding to 5241504000 its reverse (4051425), we get a palindrome (5245555425).

The spelling of 5241504000 in words is "five billion, two hundred forty-one million, five hundred four thousand".