52603200 has 252 divisors, whose sum is σ = 202062588. Its totient is φ = 12902400.

The previous prime is 52603171. The next prime is 52603207. The reversal of 52603200 is 230625.

It can be written as a sum of positive squares in 6 ways, for example, as 3154176 + 49449024 = 1776^2 + 7032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52603207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187060 + ... + 187340.

Almost surely, 2^52603200 is an apocalyptic number.

52603200 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 52603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101031294).

52603200 is an abundant number, since it is smaller than the sum of its proper divisors (149459388).

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

52603200 is a wasteful number, since it uses less digits than its factorization.

52603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52603200 is about 7252.8063534056. The cubic root of 52603200 is about 374.6888084977.

Adding to 52603200 its reverse (230625), we get a palindrome (52833825).

The spelling of 52603200 in words is "fifty-two million, six hundred three thousand, two hundred".