180213516 has 72 divisors (see below), whose sum is σ = 532756224. Its totient is φ = 50289120.

The previous prime is 180213503. The next prime is 180213521. The reversal of 180213516 is 615312081.

180213516 = T₄₅₃ + T₄₅₄ + ... + T₁₀₅₄.

It is a super-2 number, since 2×180213516² = 64953822698164512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180213516.

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, 2521 + ... + 19151.

It is an arithmetic number, because the mean of its divisors is an integer number (7399392).

Almost surely, 2^180213516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180213516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266378112).

180213516 is an abundant number, since it is smaller than the sum of its proper divisors (352542708).

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

180213516 is a wasteful number, since it uses less digits than its factorization.

180213516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16691 (or 16686 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 180213516 is about 13424.3627781731. The cubic root of 180213516 is about 564.8447805006.

Adding to 180213516 its reverse (615312081), we get a palindrome (795525597).

It can be divided in two parts, 1802135 and 16, that added together give a triangular number (1802151 = T₁₈₉₈).

The spelling of 180213516 in words is "one hundred eighty million, two hundred thirteen thousand, five hundred sixteen".