10805256487871 has 2 divisors, whose sum is σ = 10805256487872. Its totient is φ = 10805256487870.

The previous prime is 10805256487849. The next prime is 10805256487873. The reversal of 10805256487871 is 17878465250801.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10805256487871 - 2³⁸ = 10530378580927 is a prime.

It is a super-2 number, since 2×10805256487871² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10805256487873, 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 (10805256487873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5402628243935 + 5402628243936.

It is an arithmetic number, because the mean of its divisors is an integer number (5402628243936).

Almost surely, 2^{10805256487871} is an apocalyptic number.

10805256487871 is a deficient number, since it is larger than the sum of its proper divisors (1).

10805256487871 is an equidigital number, since it uses as much as digits as its factorization.

10805256487871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30105600, while the sum is 62.

The spelling of 10805256487871 in words is "ten trillion, eight hundred five billion, two hundred fifty-six million, four hundred eighty-seven thousand, eight hundred seventy-one".