165948526174201 has 3 divisors (see below), whose sum is σ = 165948539056303. Its totient is φ = 165948513292100.

The previous prime is 165948526174141. The next prime is 165948526174217. The reversal of 165948526174201 is 102471625849561.

The square root of 165948526174201 is 12882101.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 144954352010601 + 20994174163600 = 12039699^2 + 4581940^2 .

It is not a de Polignac number, because 165948526174201 - 2¹³ = 165948526166009 is a prime.

It is a super-3 number, since 3×165948526174201³ (a number of 44 digits) contains 333 as substring.

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 165948526174201.

It is not an unprimeable number, because it can be changed into a prime (165948526174001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6441051 + ... + 19323151.

Almost surely, 2^{165948526174201} is an apocalyptic number.

165948526174201 is the 12882101-st square number.

165948526174201 is the 6441051-st centered octagonal number.

It is an amenable number.

165948526174201 is a deficient number, since it is larger than the sum of its proper divisors (12882102).

165948526174201 is an frugal number, since it uses more digits than its factorization.

165948526174201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764202 (or 12882101 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 165948526174201 in words is "one hundred sixty-five trillion, nine hundred forty-eight billion, five hundred twenty-six million, one hundred seventy-four thousand, two hundred one".