263965009 has 27 divisors (see below), whose sum is σ = 339120873. Its totient is φ = 204712200.

The previous prime is 263964977. The next prime is 263965021. The reversal of 263965009 is 900569362.

The square root of 263965009 is 16247.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 263965009 - 2⁵ = 263964977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (263965049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1250914 + ... + 1251124.

Almost surely, 2^263965009 is an apocalyptic number.

263965009 is the 16247-th square number.

263965009 is the 8124-th centered octagonal number.

It is an amenable number.

263965009 is a deficient number, since it is larger than the sum of its proper divisors (75155864).

263965009 is an equidigital number, since it uses as much as digits as its factorization.

263965009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The cubic root of 263965009 is about 641.4785226172.

The spelling of 263965009 in words is "two hundred sixty-three million, nine hundred sixty-five thousand, nine".