2565827716 has 81 divisors (see below), whose sum is σ = 5013290583. Its totient is φ = 1148832720.

The previous prime is 2565827711. The next prime is 2565827753. The reversal of 2565827716 is 6177285652.

It is a happy number.

The square root of 2565827716 is 50654.

It is a perfect power (a square), and thus also a powerful number.

2565827716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2565827716.

It is not an unprimeable number, because it can be changed into a prime (2565827711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59670391 + ... + 59670433.

Almost surely, 2^2565827716 is an apocalyptic number.

2565827716 is the 50654-th square number.

It is an amenable number.

2565827716 is a deficient number, since it is larger than the sum of its proper divisors (2447462867).

2565827716 is a wasteful number, since it uses less digits than its factorization.

2565827716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The cubic root of 2565827716 is about 1369.0180179587.

Multiplying 2565827716 by its sum of digits (49), we get a square (125725558084 = 354578²).

The spelling of 2565827716 in words is "two billion, five hundred sixty-five million, eight hundred twenty-seven thousand, seven hundred sixteen".