413205101 has 2 divisors, whose sum is σ = 413205102. Its totient is φ = 413205100.

The previous prime is 413205083. The next prime is 413205113. The reversal of 413205101 is 101502314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237006025 + 176199076 = 15395^2 + 13274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413205101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413205101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413205131) 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, 206602550 + 206602551.

It is an arithmetic number, because the mean of its divisors is an integer number (206602551).

Almost surely, 2^413205101 is an apocalyptic number.

It is an amenable number.

413205101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413205101 is an equidigital number, since it uses as much as digits as its factorization.

413205101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 413205101 is about 20327.4469867714. The cubic root of 413205101 is about 744.8266797988.

Adding to 413205101 its reverse (101502314), we get a palindrome (514707415).

The spelling of 413205101 in words is "four hundred thirteen million, two hundred five thousand, one hundred one".