2565416241 has 12 divisors (see below), whose sum is σ = 3833380980. Its totient is φ = 1651302240.

The previous prime is 2565416237. The next prime is 2565416311. The reversal of 2565416241 is 1426145652.

2565416241 is a `hidden beast` number, since 2 + 56 + 541 + 62 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2162250000 + 403166241 = 46500^2 + 20079^2 .

It is not a de Polignac number, because 2565416241 - 2² = 2565416237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2565416196 and 2565416205.

It is not an unprimeable number, because it can be changed into a prime (2565416221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4914330 + ... + 4914851.

It is an arithmetic number, because the mean of its divisors is an integer number (319448415).

Almost surely, 2^2565416241 is an apocalyptic number.

It is an amenable number.

2565416241 is a deficient number, since it is larger than the sum of its proper divisors (1267964739).

2565416241 is a wasteful number, since it uses less digits than its factorization.

2565416241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829216 (or 9829213 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2565416241 is about 50649.9382131903. The cubic root of 2565416241 is about 1368.9448321143.

It can be divided in two parts, 25654 and 16241, that multiplied together give a palindrome (416646614).

The spelling of 2565416241 in words is "two billion, five hundred sixty-five million, four hundred sixteen thousand, two hundred forty-one".