252133 has 8 divisors (see below), whose sum is σ = 291200. Its totient is φ = 213840.

The previous prime is 252101. The next prime is 252139. The reversal of 252133 is 331252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252133 - 2⁵ = 252101 is a prime.

It is an Ulam number.

252133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252139) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1168 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2²⁵²¹³³ is an apocalyptic number.

It is an amenable number.

252133 is a deficient number, since it is larger than the sum of its proper divisors (39067).

252133 is a wasteful number, since it uses less digits than its factorization.

252133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 180, while the sum is 16.

The square root of 252133 is about 502.1284696171. The cubic root of 252133 is about 63.1747061363.

Adding to 252133 its reverse (331252), we get a palindrome (583385).

The spelling of 252133 in words is "two hundred fifty-two thousand, one hundred thirty-three".