2586092516849 has 2 divisors, whose sum is σ = 2586092516850. Its totient is φ = 2586092516848.

The previous prime is 2586092516837. The next prime is 2586092516851. The reversal of 2586092516849 is 9486152906852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2212596750400 + 373495766449 = 1487480^2 + 611143^2 .

It is a cyclic number.

It is not a de Polignac number, because 2586092516849 - 2⁸ = 2586092516593 is a prime.

Together with 2586092516851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2586092512849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1293046258424 + 1293046258425.

It is an arithmetic number, because the mean of its divisors is an integer number (1293046258425).

Almost surely, 2^{2586092516849} is an apocalyptic number.

It is an amenable number.

2586092516849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2586092516849 is an equidigital number, since it uses as much as digits as its factorization.

2586092516849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 74649600, while the sum is 65.

The spelling of 2586092516849 in words is "two trillion, five hundred eighty-six billion, ninety-two million, five hundred sixteen thousand, eight hundred forty-nine".