2586312952121 has 2 divisors, whose sum is σ = 2586312952122. Its totient is φ = 2586312952120.

The previous prime is 2586312952033. The next prime is 2586312952123. The reversal of 2586312952121 is 1212592136852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1897726656400 + 688586295721 = 1377580^2 + 829811^2 .

It is a cyclic number.

It is not a de Polignac number, because 2586312952121 - 2³⁰ = 2585239210297 is a prime.

Together with 2586312952123, 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 (2586312952123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1293156476060 + 1293156476061.

It is an arithmetic number, because the mean of its divisors is an integer number (1293156476061).

Almost surely, 2^{2586312952121} is an apocalyptic number.

It is an amenable number.

2586312952121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2586312952121 is an equidigital number, since it uses as much as digits as its factorization.

2586312952121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 518400, while the sum is 47.

The spelling of 2586312952121 in words is "two trillion, five hundred eighty-six billion, three hundred twelve million, nine hundred fifty-two thousand, one hundred twenty-one".