53045200 has 90 divisors (see below), whose sum is σ = 138616562. Its totient is φ = 19392000.

The previous prime is 53045191. The next prime is 53045203. The reversal of 53045200 is 254035.

It is a happy number.

53045200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 1089936 + 51955264 = 1044^2 + 7208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53045203) 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 17 ways as a sum of consecutive naturals, for example, 525150 + ... + 525250.

Almost surely, 2^53045200 is an apocalyptic number.

53045200 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 53045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69308281).

53045200 is an abundant number, since it is smaller than the sum of its proper divisors (85571362).

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

53045200 is a wasteful number, since it uses less digits than its factorization.

53045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 53045200 is about 7283.2135764373. The cubic root of 53045200 is about 375.7353275437.

Adding to 53045200 its reverse (254035), we get a palindrome (53299235).

The spelling of 53045200 in words is "fifty-three million, forty-five thousand, two hundred".