53051200 has 84 divisors (see below), whose sum is σ = 132661152. Its totient is φ = 20876800.

The previous prime is 53051197. The next prime is 53051213. The reversal of 53051200 is 215035.

53051200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 113367 + ... + 113833.

Almost surely, 2^53051200 is an apocalyptic number.

53051200 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 53051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330576).

53051200 is an abundant number, since it is smaller than the sum of its proper divisors (79609952).

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

53051200 is a wasteful number, since it uses less digits than its factorization.

53051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 53051200 is about 7283.6254708764. The cubic root of 53051200 is about 375.7494936195.

Adding to 53051200 its reverse (215035), we get a palindrome (53266235).

The spelling of 53051200 in words is "fifty-three million, fifty-one thousand, two hundred".