2566135413 has 12 divisors (see below), whose sum is σ = 3707154828. Its totient is φ = 1710519360.

The previous prime is 2566135399. The next prime is 2566135427. The reversal of 2566135413 is 3145316652.

2566135413 is a `hidden beast` number, since 2 + 56 + 61 + 3 + 541 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2566135399) and next prime (2566135427).

It can be written as a sum of positive squares in 2 ways, for example, as 985834404 + 1580301009 = 31398^2 + 39753^2 .

It is not a de Polignac number, because 2566135413 - 2¹⁸ = 2565873269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566135213) 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 11 ways as a sum of consecutive naturals, for example, 70081 + ... + 100217.

It is an arithmetic number, because the mean of its divisors is an integer number (308929569).

Almost surely, 2^2566135413 is an apocalyptic number.

It is an amenable number.

2566135413 is a deficient number, since it is larger than the sum of its proper divisors (1141019415).

2566135413 is a wasteful number, since it uses less digits than its factorization.

2566135413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39604 (or 39601 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2566135413 is about 50657.0371518114. The cubic root of 2566135413 is about 1369.0727405078.

The spelling of 2566135413 in words is "two billion, five hundred sixty-six million, one hundred thirty-five thousand, four hundred thirteen".