171807763009 has 9 divisors (see below), whose sum is σ = 177948908553. Its totient is φ = 165871751472.

The previous prime is 171807762989. The next prime is 171807763013. The reversal of 171807763009 is 900367708171.

The square root of 171807763009 is 414497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 71617788225 + 100189974784 = 267615^2 + 316528^2 .

It is not a de Polignac number, because 171807763009 - 2¹¹ = 171807760961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171807763709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12013267 + ... + 12027559.

Almost surely, 2^171807763009 is an apocalyptic number.

171807763009 is the 414497-th square number.

171807763009 is the 207249-th centered octagonal number.

It is an amenable number.

171807763009 is a deficient number, since it is larger than the sum of its proper divisors (6141145544).

171807763009 is an frugal number, since it uses more digits than its factorization.

171807763009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 14322 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 49.

Multiplying 171807763009 by its sum of digits (49), we get a square (8418580387441 = 2901479²).

The spelling of 171807763009 in words is "one hundred seventy-one billion, eight hundred seven million, seven hundred sixty-three thousand, nine".