2565410463 has 48 divisors (see below), whose sum is σ = 4707196416. Its totient is φ = 1307517120.

The previous prime is 2565410459. The next prime is 2565410473. The reversal of 2565410463 is 3640145652.

2565410463 is a `hidden beast` number, since 2 + 56 + 541 + 0 + 4 + 63 = 666.

It is not a de Polignac number, because 2565410463 - 2² = 2565410459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565410473) 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, 1806 + ... + 71652.

It is an arithmetic number, because the mean of its divisors is an integer number (98066592).

Almost surely, 2^2565410463 is an apocalyptic number.

2565410463 is a deficient number, since it is larger than the sum of its proper divisors (2141785953).

2565410463 is a wasteful number, since it uses less digits than its factorization.

2565410463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69924 (or 69921 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2565410463 is about 50649.8811745891. The cubic root of 2565410463 is about 1368.9438043709.

The spelling of 2565410463 in words is "two billion, five hundred sixty-five million, four hundred ten thousand, four hundred sixty-three".