180525312 has 216 divisors, whose sum is σ = 602652960. Its totient is φ = 51363840.

The previous prime is 180525299. The next prime is 180525313. The reversal of 180525312 is 213525081.

It is a happy number.

180525312 is a `hidden beast` number, since 1 + 80 + 52 + 531 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (180525313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430639 + ... + 431057.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^180525312 is an apocalyptic number.

180525312 is a gapful number since it is divisible by the number (12) 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 180525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

180525312 is an abundant number, since it is smaller than the sum of its proper divisors (422127648).

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

180525312 is a wasteful number, since it uses less digits than its factorization.

180525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 180525312 is about 13435.9708246185. The cubic root of 180525312 is about 565.1703477787.

The spelling of 180525312 in words is "one hundred eighty million, five hundred twenty-five thousand, three hundred twelve".