205170338417 has 36 divisors (see below), whose sum is σ = 233636823024. Its totient is φ = 178585693440.

The previous prime is 205170338383. The next prime is 205170338423. The reversal of 205170338417 is 714833071502.

It is not a de Polignac number, because 205170338417 - 2¹² = 205170334321 is a prime.

It is a super-2 number, since 2×205170338417² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205170238417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581218913 + ... + 581219265.

Almost surely, 2^205170338417 is an apocalyptic number.

It is an amenable number.

205170338417 is a deficient number, since it is larger than the sum of its proper divisors (28466484607).

205170338417 is an frugal number, since it uses more digits than its factorization.

205170338417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 205170338417 in words is "two hundred five billion, one hundred seventy million, three hundred thirty-eight thousand, four hundred seventeen".