252123345 has 48 divisors (see below), whose sum is σ = 469722240. Its totient is φ = 124641792.

The previous prime is 252123323. The next prime is 252123349. The reversal of 252123345 is 543321252.

It is a happy number.

It is not a de Polignac number, because 252123345 - 2⁹ = 252122833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252123349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48796 + ... + 53714.

It is an arithmetic number, because the mean of its divisors is an integer number (9785880).

Almost surely, 2^252123345 is an apocalyptic number.

It is an amenable number.

252123345 is a deficient number, since it is larger than the sum of its proper divisors (217598895).

252123345 is a wasteful number, since it uses less digits than its factorization.

252123345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5011 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 252123345 is about 15878.3923934383. The cubic root of 252123345 is about 631.7389973710.

Adding to 252123345 its reverse (543321252), we get a palindrome (795444597).

The spelling of 252123345 in words is "two hundred fifty-two million, one hundred twenty-three thousand, three hundred forty-five".