263522 has 12 divisors (see below), whose sum is σ = 459990. Its totient is φ = 112896.

The previous prime is 263521. The next prime is 263533. The reversal of 263522 is 225362.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 261121 + 2401 = 511^2 + 49^2 .

It is a d-powerful number, because it can be written as 2 + 6 + 5⁴ + 3⁶ + 2⁴ + 2¹⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 263494 and 263503.

It is not an unprimeable number, because it can be changed into a prime (263521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1247 + ... + 1442.

2²⁶³⁵²² is an apocalyptic number.

263522 is a deficient number, since it is larger than the sum of its proper divisors (196468).

263522 is a wasteful number, since it uses less digits than its factorization.

263522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2698 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 263522 is about 513.3439392844. The cubic root of 263522 is about 64.1119460019. Note that the first 3 decimals are identical.

Adding to 263522 its reverse (225362), we get a palindrome (488884).

It can be divided in two parts, 2635 and 22, that multiplied together give a triangular number (57970 = T₃₄₀).

The spelling of 263522 in words is "two hundred sixty-three thousand, five hundred twenty-two".