413104033 has 2 divisors, whose sum is σ = 413104034. Its totient is φ = 413104032.

The previous prime is 413104019. The next prime is 413104049. The reversal of 413104033 is 330401314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 407111329 + 5992704 = 20177^2 + 2448^2 .

It is a cyclic number.

It is not a de Polignac number, because 413104033 - 2¹³ = 413095841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413104033.

It is not a weakly prime, because it can be changed into another prime (413104073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206552016 + 206552017.

It is an arithmetic number, because the mean of its divisors is an integer number (206552017).

Almost surely, 2^413104033 is an apocalyptic number.

It is an amenable number.

413104033 is a deficient number, since it is larger than the sum of its proper divisors (1).

413104033 is an equidigital number, since it uses as much as digits as its factorization.

413104033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 413104033 is about 20324.9608363706. The cubic root of 413104033 is about 744.7659478273.

Adding to 413104033 its reverse (330401314), we get a palindrome (743505347).

The spelling of 413104033 in words is "four hundred thirteen million, one hundred four thousand, thirty-three".