10517791 has 2 divisors, whose sum is σ = 10517792. Its totient is φ = 10517790.

The previous prime is 10517789. The next prime is 10517833. The reversal of 10517791 is 19771501.

It is a weak prime.

It is an emirp because it is prime and its reverse (19771501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10517791 - 2¹ = 10517789 is a prime.

It is a super-2 number, since 2×10517791² = 221247855039362, which contains 22 as substring.

Together with 10517789, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10517291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258895 + 5258896.

It is an arithmetic number, because the mean of its divisors is an integer number (5258896).

Almost surely, 2^10517791 is an apocalyptic number.

10517791 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517791 is an equidigital number, since it uses as much as digits as its factorization.

10517791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 31.

The square root of 10517791 is about 3243.1143982290. The cubic root of 10517791 is about 219.0995634387.

The spelling of 10517791 in words is "ten million, five hundred seventeen thousand, seven hundred ninety-one".