252133123 has 8 divisors (see below), whose sum is σ = 281451456. Its totient is φ = 223881000.

The previous prime is 252133117. The next prime is 252133139. The reversal of 252133123 is 321331252.

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 252133123 - 2⁹ = 252132611 is a prime.

It is a super-2 number, since 2×252133123² = 127142223427466258, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 252133094 and 252133103.

It is not an unprimeable number, because it can be changed into a prime (252133423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266053 + ... + 266998.

It is an arithmetic number, because the mean of its divisors is an integer number (35181432).

Almost surely, 2^252133123 is an apocalyptic number.

252133123 is a deficient number, since it is larger than the sum of its proper divisors (29318333).

252133123 is a wasteful number, since it uses less digits than its factorization.

252133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533105.

The product of its digits is 1080, while the sum is 22.

The square root of 252133123 is about 15878.7002931600. The cubic root of 252133123 is about 631.7471640934.

Adding to 252133123 its reverse (321331252), we get a palindrome (573464375).

It can be divided in two parts, 2 and 52133123, that added together give a palindrome (52133125).

The spelling of 252133123 in words is "two hundred fifty-two million, one hundred thirty-three thousand, one hundred twenty-three".