252120321 has 12 divisors (see below), whose sum is σ = 366587520. Its totient is φ = 166966200.

The previous prime is 252120307. The next prime is 252120343. The reversal of 252120321 is 123021252.

It is not a de Polignac number, because 252120321 - 2¹⁴ = 252103937 is a prime.

It is a super-2 number, since 2×252120321² = 127129312522286082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252120294 and 252120303.

It is not an unprimeable number, because it can be changed into a prime (252120301) 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 11 ways as a sum of consecutive naturals, for example, 91401 + ... + 94118.

It is an arithmetic number, because the mean of its divisors is an integer number (30548960).

Almost surely, 2^252120321 is an apocalyptic number.

It is an amenable number.

252120321 is a deficient number, since it is larger than the sum of its proper divisors (114467199).

252120321 is a wasteful number, since it uses less digits than its factorization.

252120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185676 (or 185673 counting only the distinct ones).

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

The square root of 252120321 is about 15878.2971694071. The cubic root of 252120321 is about 631.7364716412.

Adding to 252120321 its reverse (123021252), we get a palindrome (375141573).

The spelling of 252120321 in words is "two hundred fifty-two million, one hundred twenty thousand, three hundred twenty-one".