413505601 has 2 divisors, whose sum is σ = 413505602. Its totient is φ = 413505600.

The previous prime is 413505563. The next prime is 413505613. The reversal of 413505601 is 106505314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249640000 + 163865601 = 15800^2 + 12801^2 .

It is a cyclic number.

It is not a de Polignac number, because 413505601 - 2⁷ = 413505473 is a prime.

It is equal to p_22017427 and since 413505601 and 22017427 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (413505691) 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, 206752800 + 206752801.

It is an arithmetic number, because the mean of its divisors is an integer number (206752801).

Almost surely, 2^413505601 is an apocalyptic number.

It is an amenable number.

413505601 is a deficient number, since it is larger than the sum of its proper divisors (1).

413505601 is an equidigital number, since it uses as much as digits as its factorization.

413505601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 413505601 is about 20334.8371274520. The cubic root of 413505601 is about 745.0071923994.

The spelling of 413505601 in words is "four hundred thirteen million, five hundred five thousand, six hundred one".