164261313 has 6 divisors (see below), whose sum is σ = 237266354. Its totient is φ = 109507536.

The previous prime is 164261297. The next prime is 164261323. The reversal of 164261313 is 313162461.

164261313 is a `hidden beast` number, since 1 + 6 + 42 + 613 + 1 + 3 = 666.

164261313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 164019249 + 242064 = 12807^2 + 492^2 .

It is not a de Polignac number, because 164261313 - 2⁴ = 164261297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164261323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9125620 + ... + 9125637.

Almost surely, 2^164261313 is an apocalyptic number.

It is an amenable number.

164261313 is a deficient number, since it is larger than the sum of its proper divisors (73005041).

164261313 is a wasteful number, since it uses less digits than its factorization.

164261313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18251263 (or 18251260 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164261313 is about 12816.4469725427. The cubic root of 164261313 is about 547.6609347374.

The spelling of 164261313 in words is "one hundred sixty-four million, two hundred sixty-one thousand, three hundred thirteen".