252120213 has 24 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 166344000.

The previous prime is 252120203. The next prime is 252120233. The reversal of 252120213 is 312021252.

It is not a de Polignac number, because 252120213 - 2⁸ = 252119957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252120203) 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 23 ways as a sum of consecutive naturals, for example, 526108 + ... + 526586.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 2^252120213 is an apocalyptic number.

It is an amenable number.

252120213 is a deficient number, since it is larger than the sum of its proper divisors (115840107).

252120213 is a wasteful number, since it uses less digits than its factorization.

252120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252120213 is about 15878.2937685382. The cubic root of 252120213 is about 631.7363814362.

Adding to 252120213 its reverse (312021252), we get a palindrome (564141465).

The spelling of 252120213 in words is "two hundred fifty-two million, one hundred twenty thousand, two hundred thirteen".