200052 has 18 divisors (see below), whose sum is σ = 505778. Its totient is φ = 66672.

The previous prime is 200041. The next prime is 200063. The reversal of 200052 is 250002.

200052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200041) and next prime (200063).

It can be written as a sum of positive squares in only one way, i.e., 197136 + 2916 = 444^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200052.

It is an unprimeable number.

200052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2743 + ... + 2814.

2²⁰⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

200052 is an abundant number, since it is smaller than the sum of its proper divisors (305726).

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

200052 is a wasteful number, since it uses less digits than its factorization.

200052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 200052 is about 447.2717294889. The cubic root of 200052 is about 58.4854226225.

Adding to 200052 its reverse (250002), we get a palindrome (450054).

The spelling of 200052 in words is "two hundred thousand, fifty-two".