52333200 has 90 divisors (see below), whose sum is σ = 181623234. Its totient is φ = 13954560.

The previous prime is 52333199. The next prime is 52333223. The reversal of 52333200 is 233325.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 51667344 = 816^2 + 7188^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3669 + ... + 10868.

Almost surely, 2^52333200 is an apocalyptic number.

52333200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52333200 is an abundant number, since it is smaller than the sum of its proper divisors (129290034).

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

52333200 is a wasteful number, since it uses less digits than its factorization.

52333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 52333200 is about 7234.1689225508. The cubic root of 52333200 is about 374.0466450254.

Adding to 52333200 its reverse (233325), we get a palindrome (52566525).

The spelling of 52333200 in words is "fifty-two million, three hundred thirty-three thousand, two hundred".