2265506567 has 12 divisors (see below), whose sum is σ = 2343996360. Its totient is φ = 2189569680.

The previous prime is 2265506561. The next prime is 2265506599. The reversal of 2265506567 is 7656055622.

It is a de Polignac number, because none of the positive numbers 2^k-2265506567 is a prime.

It is a super-3 number, since 3×2265506567³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265506561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433984 + ... + 1435562.

It is an arithmetic number, because the mean of its divisors is an integer number (195333030).

Almost surely, 2^2265506567 is an apocalyptic number.

2265506567 is a deficient number, since it is larger than the sum of its proper divisors (78489793).

2265506567 is a wasteful number, since it uses less digits than its factorization.

2265506567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The square root of 2265506567 is about 47597.3378142097. The cubic root of 2265506567 is about 1313.3740822744.

The spelling of 2265506567 in words is "two billion, two hundred sixty-five million, five hundred six thousand, five hundred sixty-seven".