263306052 has 108 divisors (see below), whose sum is σ = 705402880. Its totient is φ = 85975344.

The previous prime is 263306041. The next prime is 263306053. The reversal of 263306052 is 250603362.

263306052 is a `hidden beast` number, since 26 + 3 + 30 + 605 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263306053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2073213 + ... + 2073339.

Almost surely, 2^263306052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263306052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352701440).

263306052 is an abundant number, since it is smaller than the sum of its proper divisors (442096828).

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

263306052 is an equidigital number, since it uses as much as digits as its factorization.

263306052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 263306052 is about 16226.7079840613. The cubic root of 263306052 is about 640.9442864083.

The spelling of 263306052 in words is "two hundred sixty-three million, three hundred six thousand, fifty-two".