263252 has 24 divisors (see below), whose sum is σ = 521472. Its totient is φ = 115200.

The previous prime is 263239. The next prime is 263257. The reversal of 263252 is 252362.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁶ + 6 + 2¹⁰ + 3² + 5 + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1268 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (21728).

2²⁶³²⁵² is an apocalyptic number.

263252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

263252 is a deficient number, since it is larger than the sum of its proper divisors (258220).

263252 is a wasteful number, since it uses less digits than its factorization.

263252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

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

The square root of 263252 is about 513.0808903087. The cubic root of 263252 is about 64.0900425293.

It can be divided in two parts, 26325 and 2, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 263252 in words is "two hundred sixty-three thousand, two hundred fifty-two".