264775563 has 48 divisors (see below), whose sum is σ = 437097024. Its totient is φ = 153204480.

The previous prime is 264775529. The next prime is 264775579. The reversal of 264775563 is 365577462.

264775563 is a `hidden beast` number, since 26 + 4 + 77 + 556 + 3 = 666.

It is not a de Polignac number, because 264775563 - 2¹⁰ = 264774539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264775523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163345 + ... + 164957.

It is an arithmetic number, because the mean of its divisors is an integer number (9106188).

Almost surely, 2^264775563 is an apocalyptic number.

264775563 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

264775563 is a deficient number, since it is larger than the sum of its proper divisors (172321461).

264775563 is a wasteful number, since it uses less digits than its factorization.

264775563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1713 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 264775563 is about 16271.9256082370. The cubic root of 264775563 is about 642.1344450140.

It can be divided in two parts, 2647 and 75563, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 264775563 in words is "two hundred sixty-four million, seven hundred seventy-five thousand, five hundred sixty-three".