53524200 has 96 divisors (see below), whose sum is σ = 170480160. Its totient is φ = 13881600.

The previous prime is 53524193. The next prime is 53524201. The reversal of 53524200 is 242535.

53524200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53524201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20995 + ... + 23405.

It is an arithmetic number, because the mean of its divisors is an integer number (1775835).

Almost surely, 2^53524200 is an apocalyptic number.

53524200 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 53524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240080).

53524200 is an abundant number, since it is smaller than the sum of its proper divisors (116955960).

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

53524200 is a wasteful number, since it uses less digits than its factorization.

53524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 53524200 is about 7316.0235100770. The cubic root of 53524200 is about 376.8629079834.

Adding to 53524200 its reverse (242535), we get a palindrome (53766735).

The spelling of 53524200 in words is "fifty-three million, five hundred twenty-four thousand, two hundred".