218313041 has 2 divisors, whose sum is σ = 218313042. Its totient is φ = 218313040.

The previous prime is 218312977. The next prime is 218313071. The reversal of 218313041 is 140313812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206209600 + 12103441 = 14360^2 + 3479^2 .

It is a cyclic number.

It is not a de Polignac number, because 218313041 - 2⁶ = 218312977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218312998 and 218313016.

It is not a weakly prime, because it can be changed into another prime (218313071) 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, 109156520 + 109156521.

It is an arithmetic number, because the mean of its divisors is an integer number (109156521).

Almost surely, 2^218313041 is an apocalyptic number.

It is an amenable number.

218313041 is a deficient number, since it is larger than the sum of its proper divisors (1).

218313041 is an equidigital number, since it uses as much as digits as its factorization.

218313041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 218313041 is about 14775.4201632306. The cubic root of 218313041 is about 602.1341049567.

Adding to 218313041 its reverse (140313812), we get a palindrome (358626853).

The spelling of 218313041 in words is "two hundred eighteen million, three hundred thirteen thousand, forty-one".