165213325 has 12 divisors (see below), whose sum is σ = 210402580. Its totient is φ = 128597760.

The previous prime is 165213311. The next prime is 165213329. The reversal of 165213325 is 523312561.

It can be written as a sum of positive squares in 6 ways, for example, as 21261321 + 143952004 = 4611^2 + 11998^2 .

It is not a de Polignac number, because 165213325 - 2⁷ = 165213197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165213293 and 165213302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165213329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88380 + ... + 90229.

Almost surely, 2^165213325 is an apocalyptic number.

It is an amenable number.

165213325 is a deficient number, since it is larger than the sum of its proper divisors (45189255).

165213325 is a wasteful number, since it uses less digits than its factorization.

165213325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178656 (or 178651 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 165213325 is about 12853.5335608540. The cubic root of 165213325 is about 548.7169264507.

Adding to 165213325 its reverse (523312561), we get a palindrome (688525886).

The spelling of 165213325 in words is "one hundred sixty-five million, two hundred thirteen thousand, three hundred twenty-five".