263413 has 4 divisors (see below), whose sum is σ = 264748. Its totient is φ = 262080.

The previous prime is 263411. The next prime is 263423. The reversal of 263413 is 314362.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314362 = 2 ⋅157181.

It can be written as a sum of positive squares in 2 ways, for example, as 237169 + 26244 = 487^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 263413 - 2¹ = 263411 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (66187).

2²⁶³⁴¹³ is an apocalyptic number.

It is an amenable number.

263413 is a deficient number, since it is larger than the sum of its proper divisors (1335).

263413 is a wasteful number, since it uses less digits than its factorization.

263413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334.

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

The square root of 263413 is about 513.2377616661. The cubic root of 263413 is about 64.1031052905.

Adding to 263413 its reverse (314362), we get a palindrome (577775).

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

The spelling of 263413 in words is "two hundred sixty-three thousand, four hundred thirteen".