252541 has 2 divisors, whose sum is σ = 252542. Its totient is φ = 252540.

The previous prime is 252533. The next prime is 252559. The reversal of 252541 is 145252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143641 + 108900 = 379^2 + 330^2 .

It is a cyclic number.

It is not a de Polignac number, because 252541 - 2³ = 252533 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252341) 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, 126270 + 126271.

It is an arithmetic number, because the mean of its divisors is an integer number (126271).

2²⁵²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

252541 is a deficient number, since it is larger than the sum of its proper divisors (1).

252541 is an equidigital number, since it uses as much as digits as its factorization.

252541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 400, while the sum is 19.

The square root of 252541 is about 502.5345759249. The cubic root of 252541 is about 63.2087640733.

Adding to 252541 its reverse (145252), we get a palindrome (397793).

The spelling of 252541 in words is "two hundred fifty-two thousand, five hundred forty-one".