252046321 has 2 divisors, whose sum is σ = 252046322. Its totient is φ = 252046320.

The previous prime is 252046247. The next prime is 252046367. The reversal of 252046321 is 123640252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191517921 + 60528400 = 13839^2 + 7780^2 .

It is a cyclic number.

It is not a de Polignac number, because 252046321 - 2¹⁷ = 251915249 is a prime.

It is equal to p_13785100 and since 252046321 and 13785100 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252086321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126023160 + 126023161.

It is an arithmetic number, because the mean of its divisors is an integer number (126023161).

Almost surely, 2^252046321 is an apocalyptic number.

It is an amenable number.

252046321 is a deficient number, since it is larger than the sum of its proper divisors (1).

252046321 is an equidigital number, since it uses as much as digits as its factorization.

252046321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 252046321 is about 15875.9667737118. The cubic root of 252046321 is about 631.6746584651.

Adding to 252046321 its reverse (123640252), we get a palindrome (375686573).

It can be divided in two parts, 2520 and 46321, that added together give a square (48841 = 221²).

The spelling of 252046321 in words is "two hundred fifty-two million, forty-six thousand, three hundred twenty-one".