10585434017 has 2 divisors, whose sum is σ = 10585434018. Its totient is φ = 10585434016.

The previous prime is 10585434011. The next prime is 10585434023. The reversal of 10585434017 is 71043458501.

It is a balanced prime because it is at equal distance from previous prime (10585434011) and next prime (10585434023).

It can be written as a sum of positive squares in only one way, i.e., 7101601441 + 3483832576 = 84271^2 + 59024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585434017 - 2⁴ = 10585434001 is a prime.

It is a super-2 number, since 2×10585434017² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10585434011) 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, 5292717008 + 5292717009.

It is an arithmetic number, because the mean of its divisors is an integer number (5292717009).

Almost surely, 2^10585434017 is an apocalyptic number.

It is an amenable number.

10585434017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585434017 is an equidigital number, since it uses as much as digits as its factorization.

10585434017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 10585434017 in words is "ten billion, five hundred eighty-five million, four hundred thirty-four thousand, seventeen".