164111013 has 24 divisors (see below), whose sum is σ = 273813696. Its totient is φ = 93609600.

The previous prime is 164110997. The next prime is 164111027. The reversal of 164111013 is 310111461.

164111013 is a `hidden beast` number, since 1 + 641 + 1 + 10 + 13 = 666.

It is not a de Polignac number, because 164111013 - 2⁴ = 164110997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164111053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47073 + ... + 50438.

It is an arithmetic number, because the mean of its divisors is an integer number (11408904).

Almost surely, 2^164111013 is an apocalyptic number.

It is an amenable number.

164111013 is a deficient number, since it is larger than the sum of its proper divisors (109702683).

164111013 is a wasteful number, since it uses less digits than its factorization.

164111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97545 (or 97542 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 164111013 is about 12810.5820710848. The cubic root of 164111013 is about 547.4938461809.

Adding to 164111013 its reverse (310111461), we get a palindrome (474222474).

It can be divided in two parts, 16411 and 1013, that added together give a square (17424 = 132²).

The spelling of 164111013 in words is "one hundred sixty-four million, one hundred eleven thousand, thirteen".