186505135366013 has 16 divisors (see below), whose sum is σ = 187172068129200. Its totient is φ = 185839468179456.

The previous prime is 186505135366003. The next prime is 186505135366061. The reversal of 186505135366013 is 310663531505681.

It can be written as a sum of positive squares in 8 ways, for example, as 1086885481444 + 185418249884569 = 1042538^2 + 13616837^2 .

It is a cyclic number.

It is not a de Polignac number, because 186505135366013 - 2¹⁸ = 186505135103869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186505135366003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156633631 + ... + 1156794867.

It is an arithmetic number, because the mean of its divisors is an integer number (11698254258075).

Almost surely, 2^{186505135366013} is an apocalyptic number.

It is an amenable number.

186505135366013 is a deficient number, since it is larger than the sum of its proper divisors (666932763187).

186505135366013 is a wasteful number, since it uses less digits than its factorization.

186505135366013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165136.

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 186505135366013 in words is "one hundred eighty-six trillion, five hundred five billion, one hundred thirty-five million, three hundred sixty-six thousand, thirteen".