2565610047 has 48 divisors (see below), whose sum is σ = 4975746048. Its totient is φ = 1230258240.

The previous prime is 2565610013. The next prime is 2565610051. The reversal of 2565610047 is 7400165652.

It is a happy number.

2565610047 is a `hidden beast` number, since 2 + 56 + 561 + 0 + 0 + 47 = 666.

It is not a de Polignac number, because 2565610047 - 2¹⁹ = 2565085759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2565609993 and 2565610020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565610067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133383 + ... + 151400.

It is an arithmetic number, because the mean of its divisors is an integer number (103661376).

Almost surely, 2^2565610047 is an apocalyptic number.

2565610047 is a deficient number, since it is larger than the sum of its proper divisors (2410136001).

2565610047 is a wasteful number, since it uses less digits than its factorization.

2565610047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284820 (or 284817 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2565610047 is about 50651.8513679411. The cubic root of 2565610047 is about 1368.9793038486.

Adding to 2565610047 its reverse (7400165652), we get a palindrome (9965775699).

The spelling of 2565610047 in words is "two billion, five hundred sixty-five million, six hundred ten thousand, forty-seven".