263250 has 80 divisors (see below), whose sum is σ = 792792. Its totient is φ = 64800.

The previous prime is 263239. The next prime is 263257. The reversal of 263250 is 52362.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 227529 = 189^2 + 477^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁸ + 6³ + 2¹⁸ + 3² + 5⁴ + 0 .

It is a Curzon number.

It is a nialpdrome in base 9 and base 15.

It is a zygodrome in base 9.

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

263250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 39 ways as a sum of consecutive naturals, for example, 20244 + ... + 20256.

2²⁶³²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396396).

263250 is an abundant number, since it is smaller than the sum of its proper divisors (529542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263250 is a wasteful number, since it uses less digits than its factorization.

263250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 263250 is about 513.0789412946. The cubic root of 263250 is about 64.0898802255.

The spelling of 263250 in words is "two hundred sixty-three thousand, two hundred fifty".