2586418661 has 2 divisors, whose sum is σ = 2586418662. Its totient is φ = 2586418660.

The previous prime is 2586418657. The next prime is 2586418663. The reversal of 2586418661 is 1668146852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2244390625 + 342028036 = 47375^2 + 18494^2 .

It is a cyclic number.

It is not a de Polignac number, because 2586418661 - 2² = 2586418657 is a prime.

It is a super-2 number, since 2×2586418661² = 13379122979938065842, which contains 22 as substring.

Together with 2586418663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2586418663) 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 as a sum of consecutive naturals, namely, 1293209330 + 1293209331.

It is an arithmetic number, because the mean of its divisors is an integer number (1293209331).

Almost surely, 2^2586418661 is an apocalyptic number.

It is an amenable number.

2586418661 is a deficient number, since it is larger than the sum of its proper divisors (1).

2586418661 is an equidigital number, since it uses as much as digits as its factorization.

2586418661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 47.

The square root of 2586418661 is about 50856.8447802260. The cubic root of 2586418661 is about 1372.6704198346.

Subtracting from 2586418661 its reverse (1668146852), we obtain a square (918271809 = 30303²).

The spelling of 2586418661 in words is "two billion, five hundred eighty-six million, four hundred eighteen thousand, six hundred sixty-one".