53253200 has 360 divisors, whose sum is σ = 184050720. Its totient is φ = 14515200.

The previous prime is 53253191. The next prime is 53253229. The reversal of 53253200 is 235235.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2802791 + ... + 2802809.

It is an arithmetic number, because the mean of its divisors is an integer number (511252).

Almost surely, 2^53253200 is an apocalyptic number.

53253200 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 53253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

53253200 is an abundant number, since it is smaller than the sum of its proper divisors (130797520).

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

53253200 is a wasteful number, since it uses less digits than its factorization.

53253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 53253200 is about 7297.4790167564. The cubic root of 53253200 is about 376.2257961715.

Adding to 53253200 its reverse (235235), we get a palindrome (53488435).

It can be divided in two parts, 532 and 53200, that multiplied together give a square (28302400 = 5320²).

The spelling of 53253200 in words is "fifty-three million, two hundred fifty-three thousand, two hundred".