5241288400 has 60 divisors (see below), whose sum is σ = 12646464012. Its totient is φ = 2087480320.

The previous prime is 5241288359. The next prime is 5241288401. The reversal of 5241288400 is 48821425.

It can be written as a sum of positive squares in 6 ways, for example, as 398241936 + 4843046464 = 19956^2 + 69592^2 .

It is a super-2 number, since 2×5241288400² = 54942208183949120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241288401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65082 + ... + 121318.

Almost surely, 2^5241288400 is an apocalyptic number.

5241288400 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 5241288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323232006).

5241288400 is an abundant number, since it is smaller than the sum of its proper divisors (7405175612).

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

5241288400 is a wasteful number, since it uses less digits than its factorization.

5241288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56488 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 5241288400 is about 72396.7430206636. The cubic root of 5241288400 is about 1737.0514647117.

The spelling of 5241288400 in words is "five billion, two hundred forty-one million, two hundred eighty-eight thousand, four hundred".