10217005349 has 2 divisors, whose sum is σ = 10217005350. Its totient is φ = 10217005348.

The previous prime is 10217005303. The next prime is 10217005367. The reversal of 10217005349 is 94350071201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10041442849 + 175562500 = 100207^2 + 13250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10217005349 is a prime.

It is a super-2 number, since 2×10217005349² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10217005649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5108502674 + 5108502675.

It is an arithmetic number, because the mean of its divisors is an integer number (5108502675).

Almost surely, 2^10217005349 is an apocalyptic number.

It is an amenable number.

10217005349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217005349 is an equidigital number, since it uses as much as digits as its factorization.

10217005349 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 32.

The spelling of 10217005349 in words is "ten billion, two hundred seventeen million, five thousand, three hundred forty-nine".