165025520 has 80 divisors (see below), whose sum is σ = 420696288. Its totient is φ = 59704320.

The previous prime is 165025519. The next prime is 165025541. The reversal of 165025520 is 25520561.

165025520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 165025520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243422 + ... + 244098.

Almost surely, 2^165025520 is an apocalyptic number.

165025520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210348144).

165025520 is an abundant number, since it is smaller than the sum of its proper divisors (255670768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165025520 is a wasteful number, since it uses less digits than its factorization.

165025520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 165025520 is about 12846.2259049107. The cubic root of 165025520 is about 548.5089310104.

It can be divided in two parts, 16502 and 5520, that added together give a palindrome (22022).

The spelling of 165025520 in words is "one hundred sixty-five million, twenty-five thousand, five hundred twenty".