413606257 has 2 divisors, whose sum is σ = 413606258. Its totient is φ = 413606256.

The previous prime is 413606203. The next prime is 413606267. The reversal of 413606257 is 752606314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413552896 + 53361 = 20336^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 413606257 - 2⁷ = 413606129 is a prime.

It is not a weakly prime, because it can be changed into another prime (413606267) 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, 206803128 + 206803129.

It is an arithmetic number, because the mean of its divisors is an integer number (206803129).

Almost surely, 2^413606257 is an apocalyptic number.

It is an amenable number.

413606257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413606257 is an equidigital number, since it uses as much as digits as its factorization.

413606257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 413606257 is about 20337.3119413555. The cubic root of 413606257 is about 745.0676376589.

The spelling of 413606257 in words is "four hundred thirteen million, six hundred six thousand, two hundred fifty-seven".