263563540 has 24 divisors (see below), whose sum is σ = 558967752. Its totient is φ = 104380800.

The previous prime is 263563537. The next prime is 263563549. The reversal of 263563540 is 45365362.

263563540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35070084 + 228493456 = 5922^2 + 15116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 263563496 and 263563505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263563549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63219 + ... + 67258.

It is an arithmetic number, because the mean of its divisors is an integer number (23290323).

Almost surely, 2^263563540 is an apocalyptic number.

263563540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263563540 is an abundant number, since it is smaller than the sum of its proper divisors (295404212).

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

263563540 is a wasteful number, since it uses less digits than its factorization.

263563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130587 (or 130585 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 263563540 is about 16234.6401253616. The cubic root of 263563540 is about 641.1531456352.

The spelling of 263563540 in words is "two hundred sixty-three million, five hundred sixty-three thousand, five hundred forty".