164351013 has 16 divisors (see below), whose sum is σ = 222797952. Its totient is φ = 107744000.

The previous prime is 164351009. The next prime is 164351027. The reversal of 164351013 is 310153461.

164351013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164351013 - 2² = 164351009 is a prime.

It is a super-2 number, since 2×164351013² = 54022510948252338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164351113) 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, 110233 + ... + 111713.

It is an arithmetic number, because the mean of its divisors is an integer number (13924872).

Almost surely, 2^164351013 is an apocalyptic number.

It is an amenable number.

164351013 is a deficient number, since it is larger than the sum of its proper divisors (58446939).

164351013 is a wasteful number, since it uses less digits than its factorization.

164351013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 164351013 is about 12819.9459047221. The cubic root of 164351013 is about 547.7606056937.

The spelling of 164351013 in words is "one hundred sixty-four million, three hundred fifty-one thousand, thirteen".