10824825071 has 2 divisors, whose sum is σ = 10824825072. Its totient is φ = 10824825070.

The previous prime is 10824825017. The next prime is 10824825073. The reversal of 10824825071 is 17052842801.

Together with previous prime (10824825017) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10824825071 - 2¹⁸ = 10824562927 is a prime.

Together with 10824825073, 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 (10824825073) 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, 5412412535 + 5412412536.

It is an arithmetic number, because the mean of its divisors is an integer number (5412412536).

Almost surely, 2^10824825071 is an apocalyptic number.

10824825071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824825071 is an equidigital number, since it uses as much as digits as its factorization.

10824825071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 38.

The spelling of 10824825071 in words is "ten billion, eight hundred twenty-four million, eight hundred twenty-five thousand, seventy-one".