413263 has 2 divisors, whose sum is σ = 413264. Its totient is φ = 413262.

The previous prime is 413251. The next prime is 413267. The reversal of 413263 is 362314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413263 - 2¹³ = 405071 is a prime.

It is a d-powerful number, because it can be written as 4³ + 1 + 2¹⁷ + 3 + 6⁷ + 3⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 413263.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413267) 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, 206631 + 206632.

It is an arithmetic number, because the mean of its divisors is an integer number (206632).

2⁴¹³²⁶³ is an apocalyptic number.

413263 is a deficient number, since it is larger than the sum of its proper divisors (1).

413263 is an equidigital number, since it uses as much as digits as its factorization.

413263 is an odious number, because the sum of its binary digits is odd.

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

The square root of 413263 is about 642.8553492038. The cubic root of 413263 is about 74.4861466967.

Adding to 413263 its reverse (362314), we get a palindrome (775577).

It can be divided in two parts, 413 and 263, that added together give a palindrome (676).

The spelling of 413263 in words is "four hundred thirteen thousand, two hundred sixty-three".