205242001 has 2 divisors, whose sum is σ = 205242002. Its totient is φ = 205242000.

The previous prime is 205241989. The next prime is 205242007. The reversal of 205242001 is 100242502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205176976 + 65025 = 14324^2 + 255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205242001 is a prime.

It is not a weakly prime, because it can be changed into another prime (205242007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102621000 + 102621001.

It is an arithmetic number, because the mean of its divisors is an integer number (102621001).

Almost surely, 2^205242001 is an apocalyptic number.

It is an amenable number.

205242001 is a deficient number, since it is larger than the sum of its proper divisors (1).

205242001 is an equidigital number, since it uses as much as digits as its factorization.

205242001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205242001 is about 14326.2696121496. The cubic root of 205242001 is about 589.8687834212.

Adding to 205242001 its reverse (100242502), we get a palindrome (305484503).

The spelling of 205242001 in words is "two hundred five million, two hundred forty-two thousand, one".