252319 has 2 divisors, whose sum is σ = 252320. Its totient is φ = 252318.

The previous prime is 252313. The next prime is 252323. The reversal of 252319 is 913252.

252319 is nontrivially palindromic in base 4.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252319 is a prime.

It is a super-3 number, since 3×252319³ = 48191574875333277, which contains 333 as substring. Note that it is a super-d number also for d = 2.

252319 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 252319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252313) 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 as a sum of consecutive naturals, namely, 126159 + 126160.

It is an arithmetic number, because the mean of its divisors is an integer number (126160).

2²⁵²³¹⁹ is an apocalyptic number.

252319 is a deficient number, since it is larger than the sum of its proper divisors (1).

252319 is an equidigital number, since it uses as much as digits as its factorization.

252319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 252319 is about 502.3136470374. The cubic root of 252319 is about 63.1902371022.

It can be divided in two parts, 25 and 2319, that multiplied together give a palindrome (57975).

The spelling of 252319 in words is "two hundred fifty-two thousand, three hundred nineteen".