165948525 has 36 divisors (see below), whose sum is σ = 304498740. Its totient is φ = 86342400.

The previous prime is 165948499. The next prime is 165948569. The reversal of 165948525 is 525849561.

165948525 is a `hidden beast` number, since 1 + 6 + 594 + 8 + 52 + 5 = 666.

165948525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12659364 + 153289161 = 3558^2 + 12381^2 .

It is not a de Polignac number, because 165948525 - 2⁷ = 165948397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231 + ... + 18219.

Almost surely, 2^165948525 is an apocalyptic number.

165948525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165948525 is a deficient number, since it is larger than the sum of its proper divisors (138550215).

165948525 is a wasteful number, since it uses less digits than its factorization.

165948525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18046 (or 18038 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 165948525 is about 12882.1009544251. The cubic root of 165948525 is about 549.5296529814.

The spelling of 165948525 in words is "one hundred sixty-five million, nine hundred forty-eight thousand, five hundred twenty-five".