180053523 has 36 divisors (see below), whose sum is σ = 290978688. Its totient is φ = 110749680.

The previous prime is 180053521. The next prime is 180053527. The reversal of 180053523 is 325350081.

It is not a de Polignac number, because 180053523 - 2¹ = 180053521 is a prime.

It is a super-2 number, since 2×180053523² = 64838542289423058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (180053521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84238 + ... + 86348.

Almost surely, 2^180053523 is an apocalyptic number.

180053523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

180053523 is a deficient number, since it is larger than the sum of its proper divisors (110925165).

180053523 is an frugal number, since it uses more digits than its factorization.

180053523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 180053523 is about 13418.4024011803. The cubic root of 180053523 is about 564.6775751953.

It can be divided in two parts, 18005 and 3523, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 180053523 in words is "one hundred eighty million, fifty-three thousand, five hundred twenty-three".