252105241 has 2 divisors, whose sum is σ = 252105242. Its totient is φ = 252105240.

The previous prime is 252105239. The next prime is 252105251. The reversal of 252105241 is 142501252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245235600 + 6869641 = 15660^2 + 2621^2 .

It is a cyclic number.

It is not a de Polignac number, because 252105241 - 2¹ = 252105239 is a prime.

Together with 252105239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (252105251) 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, 126052620 + 126052621.

It is an arithmetic number, because the mean of its divisors is an integer number (126052621).

Almost surely, 2^252105241 is an apocalyptic number.

It is an amenable number.

252105241 is a deficient number, since it is larger than the sum of its proper divisors (1).

252105241 is an equidigital number, since it uses as much as digits as its factorization.

252105241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 252105241 is about 15877.8223003030. The cubic root of 252105241 is about 631.7238760996.

Adding to 252105241 its reverse (142501252), we get a palindrome (394606493).

The spelling of 252105241 in words is "two hundred fifty-two million, one hundred five thousand, two hundred forty-one".