36180500 has 36 divisors (see below), whose sum is σ = 79313052. Its totient is φ = 14418400.

The previous prime is 36180461. The next prime is 36180527. The reversal of 36180500 is 508163.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 29637136 + 6543364 = 5444^2 + 2558^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134366 + ... + 134634.

Almost surely, 2^36180500 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 36180500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39656526).

36180500 is an abundant number, since it is smaller than the sum of its proper divisors (43132552).

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

36180500 is an equidigital number, since it uses as much as digits as its factorization.

36180500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 36180500 is about 6015.0228594744. The cubic root of 36180500 is about 330.7436550235.

Multiplying 36180500 by its product of nonzero digits (720), we get a square (26049960000 = 161400²).

Adding to 36180500 its reverse (508163), we get a palindrome (36688663).

The spelling of 36180500 in words is "thirty-six million, one hundred eighty thousand, five hundred".