164541013 has 16 divisors (see below), whose sum is σ = 203083776. Its totient is φ = 129818880.

The previous prime is 164540951. The next prime is 164541023. The reversal of 164541013 is 310145461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164541013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164541023) 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, 32493 + ... + 37213.

It is an arithmetic number, because the mean of its divisors is an integer number (12692736).

Almost surely, 2^164541013 is an apocalyptic number.

164541013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164541013 is a deficient number, since it is larger than the sum of its proper divisors (38542763).

164541013 is a wasteful number, since it uses less digits than its factorization.

164541013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 164541013 is about 12827.3540919396. The cubic root of 164541013 is about 547.9716061886.

Adding to 164541013 its reverse (310145461), we get a palindrome (474686474).

The spelling of 164541013 in words is "one hundred sixty-four million, five hundred forty-one thousand, thirteen".