10605117409 has 2 divisors, whose sum is σ = 10605117410. Its totient is φ = 10605117408.

The previous prime is 10605117407. The next prime is 10605117487. The reversal of 10605117409 is 90471150601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9849967009 + 755150400 = 99247^2 + 27480^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605117409 - 2¹ = 10605117407 is a prime.

It is a super-2 number, since 2×10605117409² (a number of 21 digits) contains 22 as substring.

Together with 10605117407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10605117407) 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, 5302558704 + 5302558705.

It is an arithmetic number, because the mean of its divisors is an integer number (5302558705).

Almost surely, 2^10605117409 is an apocalyptic number.

It is an amenable number.

10605117409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605117409 is an equidigital number, since it uses as much as digits as its factorization.

10605117409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 10605117409 in words is "ten billion, six hundred five million, one hundred seventeen thousand, four hundred nine".