165038125 has 60 divisors (see below), whose sum is σ = 254815308. Its totient is φ = 106176000.

The previous prime is 165038119. The next prime is 165038143. The reversal of 165038125 is 521830561.

It can be written as a sum of positive squares in 10 ways, for example, as 142778601 + 22259524 = 11949^2 + 4718^2 .

It is not a de Polignac number, because 165038125 - 2¹³ = 165029933 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 520467 + ... + 520783.

Almost surely, 2^165038125 is an apocalyptic number.

It is an amenable number.

165038125 is a deficient number, since it is larger than the sum of its proper divisors (89777183).

165038125 is an equidigital number, since it uses as much as digits as its factorization.

165038125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 165038125 is about 12846.7165065631. The cubic root of 165038125 is about 548.5228960809.

Adding to 165038125 its reverse (521830561), we get a palindrome (686868686).

The spelling of 165038125 in words is "one hundred sixty-five million, thirty-eight thousand, one hundred twenty-five".