173397567138601 has 27 divisors (see below), whose sum is σ = 188425392239973. Its totient is φ = 159495647488320.

The previous prime is 173397567138589. The next prime is 173397567138637. The reversal of 173397567138601 is 106831765793371.

The square root of 173397567138601 is 13168051.

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 8190431001 + 173389376707600 = 90501^2 + 13167740^2 .

It is not a de Polignac number, because 173397567138601 - 2²³ = 173397558749993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173397567138101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53238428565 + ... + 53238431821.

Almost surely, 2^{173397567138601} is an apocalyptic number.

173397567138601 is the 13168051-st square number.

173397567138601 is the 6584026-th centered octagonal number.

It is an amenable number.

173397567138601 is a deficient number, since it is larger than the sum of its proper divisors (15027825101372).

173397567138601 is an frugal number, since it uses more digits than its factorization.

173397567138601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 67.

The spelling of 173397567138601 in words is "one hundred seventy-three trillion, three hundred ninety-seven billion, five hundred sixty-seven million, one hundred thirty-eight thousand, six hundred one".