252205321 has 2 divisors, whose sum is σ = 252205322. Its totient is φ = 252205320.

The previous prime is 252205307. The next prime is 252205333. The reversal of 252205321 is 123502252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150921225 + 101284096 = 12285^2 + 10064^2 .

It is a cyclic number.

It is not a de Polignac number, because 252205321 - 2⁷ = 252205193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252205292 and 252205301.

It is not a weakly prime, because it can be changed into another prime (252205381) 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 as a sum of consecutive naturals, namely, 126102660 + 126102661.

It is an arithmetic number, because the mean of its divisors is an integer number (126102661).

Almost surely, 2^252205321 is an apocalyptic number.

It is an amenable number.

252205321 is a deficient number, since it is larger than the sum of its proper divisors (1).

252205321 is an equidigital number, since it uses as much as digits as its factorization.

252205321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 252205321 is about 15880.9735532807. The cubic root of 252205321 is about 631.8074583384.

Adding to 252205321 its reverse (123502252), we get a palindrome (375707573).

The spelling of 252205321 in words is "two hundred fifty-two million, two hundred five thousand, three hundred twenty-one".