180185001013 has 12 divisors (see below), whose sum is σ = 188037165888. Its totient is φ = 172643591120.

The previous prime is 180185000999. The next prime is 180185001037. The reversal of 180185001013 is 310100581081.

It is not a de Polignac number, because 180185001013 - 2⁵ = 180185000981 is a prime.

It is a super-2 number, since 2×180185001013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180185001613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707581 + ... + 927922.

It is an arithmetic number, because the mean of its divisors is an integer number (15669763824).

Almost surely, 2^180185001013 is an apocalyptic number.

It is an amenable number.

180185001013 is a deficient number, since it is larger than the sum of its proper divisors (7852164875).

180185001013 is a wasteful number, since it uses less digits than its factorization.

180185001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635692 (or 1635663 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 28.

Adding to 180185001013 its reverse (310100581081), we get a palindrome (490285582094).

The spelling of 180185001013 in words is "one hundred eighty billion, one hundred eighty-five million, one thousand, thirteen".