2565524563 has 16 divisors (see below), whose sum is σ = 2999208960. Its totient is φ = 2148785856.

The previous prime is 2565524561. The next prime is 2565524569. The reversal of 2565524563 is 3654255652.

2565524563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2565524563 - 2¹ = 2565524561 is a prime.

It is a super-4 number, since 4×2565524563⁴ (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2565524561) 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, 210895 + ... + 222727.

It is an arithmetic number, because the mean of its divisors is an integer number (187450560).

Almost surely, 2^2565524563 is an apocalyptic number.

2565524563 is a deficient number, since it is larger than the sum of its proper divisors (433684397).

2565524563 is a wasteful number, since it uses less digits than its factorization.

2565524563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546.

The product of its digits is 1080000, while the sum is 43.

The square root of 2565524563 is about 50651.0075220622. The cubic root of 2565524563 is about 1368.9640992612.

The spelling of 2565524563 in words is "two billion, five hundred sixty-five million, five hundred twenty-four thousand, five hundred sixty-three".