172559652409 has 9 divisors (see below), whose sum is σ = 180398433999. Its totient is φ = 165047919960.

The previous prime is 172559652403. The next prime is 172559652469. The reversal of 172559652409 is 904256955271.

The square root of 172559652409 is 415403.

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

172559652409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 139878244009 + 32681408400 = 374003^2 + 180780^2 .

It is not a de Polignac number, because 172559652409 - 2³³ = 163969717817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 172559652409.

It is not an unprimeable number, because it can be changed into a prime (172559652403) 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 in 8 ways as a sum of consecutive naturals, for example, 9545239 + ... + 9563299.

Almost surely, 2^172559652409 is an apocalyptic number.

172559652409 is the 415403-rd square number.

172559652409 is the 207702-nd centered octagonal number.

It is an amenable number.

172559652409 is a deficient number, since it is larger than the sum of its proper divisors (7838781590).

172559652409 is an frugal number, since it uses more digits than its factorization.

172559652409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36168 (or 18084 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 172559652409 in words is "one hundred seventy-two billion, five hundred fifty-nine million, six hundred fifty-two thousand, four hundred nine".