263313072 has 80 divisors (see below), whose sum is σ = 824530560. Its totient is φ = 79790400.

The previous prime is 263312927. The next prime is 263313073. The reversal of 263313072 is 270313362.

263313072 is a `hidden beast` number, since 26 + 331 + 307 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (263313073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22954 + ... + 32457.

It is an arithmetic number, because the mean of its divisors is an integer number (10306632).

Almost surely, 2^263313072 is an apocalyptic number.

263313072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

263313072 is an abundant number, since it is smaller than the sum of its proper divisors (561217488).

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

263313072 is a wasteful number, since it uses less digits than its factorization.

263313072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55439 (or 55427 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 263313072 is about 16226.9242926687. The cubic root of 263313072 is about 640.9499824274.

It can be divided in two parts, 26331 and 3072, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 263313072 in words is "two hundred sixty-three million, three hundred thirteen thousand, seventy-two".