2565410513 has 2 divisors, whose sum is σ = 2565410514. Its totient is φ = 2565410512.

The previous prime is 2565410489. The next prime is 2565410527. The reversal of 2565410513 is 3150145652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2174636689 + 390773824 = 46633^2 + 19768^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565410513 - 2⁸ = 2565410257 is a prime.

It is a super-2 number, since 2×2565410513² = 13162662200421846338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2565410513.

It is not a weakly prime, because it can be changed into another prime (2565419513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282705256 + 1282705257.

It is an arithmetic number, because the mean of its divisors is an integer number (1282705257).

Almost surely, 2^2565410513 is an apocalyptic number.

It is an amenable number.

2565410513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565410513 is an equidigital number, since it uses as much as digits as its factorization.

2565410513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 2565410513 is about 50649.8816681737. The cubic root of 2565410513 is about 1368.9438132645.

The spelling of 2565410513 in words is "two billion, five hundred sixty-five million, four hundred ten thousand, five hundred thirteen".