5241264000 has 512 divisors, whose sum is σ = 20927462400. Its totient is φ = 1133568000.

The previous prime is 5241263983. The next prime is 5241264011. The reversal of 5241264000 is 4621425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383590 + ... + 6384410.

It is an arithmetic number, because the mean of its divisors is an integer number (40873950).

Almost surely, 2^5241264000 is an apocalyptic number.

5241264000 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 5241264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10463731200).

5241264000 is an abundant number, since it is smaller than the sum of its proper divisors (15686198400).

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

5241264000 is a wasteful number, since it uses less digits than its factorization.

5241264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5241264000 is about 72396.5745045993. The cubic root of 5241264000 is about 1737.0487691835.

Adding to 5241264000 its reverse (4621425), we get a palindrome (5245885425).

The spelling of 5241264000 in words is "five billion, two hundred forty-one million, two hundred sixty-four thousand".