263525 has 12 divisors (see below), whose sum is σ = 333312. Its totient is φ = 206640.

The previous prime is 263521. The next prime is 263533. The reversal of 263525 is 525362.

263525 = 10² + 11² + ... + 92².

It is a happy number.

263525 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 263525 - 2² = 263521 is a prime.

It is a d-powerful number, because it can be written as 2⁴ + 6 + 5 + 3⁶ + 2¹⁸ + 5⁴ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 263525.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2012 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2²⁶³⁵²⁵ is an apocalyptic number.

263525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

263525 is a deficient number, since it is larger than the sum of its proper divisors (69787).

263525 is a wasteful number, since it uses less digits than its factorization.

263525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 263525 is about 513.3468612936. The cubic root of 263525 is about 64.1121892897.

Adding to 263525 its reverse (525362), we get a palindrome (788887).

It can be divided in two parts, 263 and 525, that multiplied together give a triangular number (138075 = T₅₂₅).

The spelling of 263525 in words is "two hundred sixty-three thousand, five hundred twenty-five".