2565017567 has 16 divisors (see below), whose sum is σ = 2956224000. Its totient is φ = 2180057760.

The previous prime is 2565017557. The next prime is 2565017573. The reversal of 2565017567 is 7657105652.

It is a cyclic number.

It is not a de Polignac number, because 2565017567 - 2⁴ = 2565017551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565017557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718934 + ... + 722492.

It is an arithmetic number, because the mean of its divisors is an integer number (184764000).

Almost surely, 2^2565017567 is an apocalyptic number.

2565017567 is a deficient number, since it is larger than the sum of its proper divisors (391206433).

2565017567 is a wasteful number, since it uses less digits than its factorization.

2565017567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406.

The product of its (nonzero) digits is 441000, while the sum is 44.

The square root of 2565017567 is about 50646.0024779844. The cubic root of 2565017567 is about 1368.8739156191.

The spelling of 2565017567 in words is "two billion, five hundred sixty-five million, seventeen thousand, five hundred sixty-seven".