166580325 has 72 divisors (see below), whose sum is σ = 310326120. Its totient is φ = 85363200.

The previous prime is 166580317. The next prime is 166580333. The reversal of 166580325 is 523085661.

It is an interprime number because it is at equal distance from previous prime (166580317) and next prime (166580333).

It can be written as a sum of positive squares in 12 ways, for example, as 33108516 + 133471809 = 5754^2 + 11553^2 .

It is not a de Polignac number, because 166580325 - 2³ = 166580317 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 166580325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 727311 + ... + 727539.

It is an arithmetic number, because the mean of its divisors is an integer number (4310085).

Almost surely, 2^166580325 is an apocalyptic number.

166580325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166580325 is a deficient number, since it is larger than the sum of its proper divisors (143745795).

166580325 is a wasteful number, since it uses less digits than its factorization.

166580325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 166580325 is about 12906.6000557854. The cubic root of 166580325 is about 550.2261604334.

The spelling of 166580325 in words is "one hundred sixty-six million, five hundred eighty thousand, three hundred twenty-five".