180525 has 24 divisors (see below), whose sum is σ = 312480. Its totient is φ = 91840.

The previous prime is 180511. The next prime is 180533. The reversal of 180525 is 525081.

It is a de Polignac number, because none of the positive numbers 2^k-180525 is a prime.

It is an Ulam number.

180525 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134 + ... + 2216.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2¹⁸⁰⁵²⁵ is an apocalyptic number.

180525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180525 is a deficient number, since it is larger than the sum of its proper divisors (131955).

180525 is a wasteful number, since it uses less digits than its factorization.

180525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 180525 is about 424.8823366533. The cubic root of 180525 is about 56.5170022186.

It can be divided in two parts, 1805 and 25, that added together give a triangular number (1830 = T₆₀).

The spelling of 180525 in words is "one hundred eighty thousand, five hundred twenty-five".