164225511 has 12 divisors (see below), whose sum is σ = 237343392. Its totient is φ = 109424256.

The previous prime is 164225483. The next prime is 164225533. The reversal of 164225511 is 115522461.

164225511 is a `hidden beast` number, since 1 + 642 + 2 + 5 + 5 + 11 = 666.

It is not a de Polignac number, because 164225511 - 2⁶ = 164225447 is a prime.

It is a super-2 number, since 2×164225511² = 53940036926422242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164225561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18295 + ... + 25751.

It is an arithmetic number, because the mean of its divisors is an integer number (19778616).

Almost surely, 2^164225511 is an apocalyptic number.

164225511 is a deficient number, since it is larger than the sum of its proper divisors (73117881).

164225511 is a wasteful number, since it uses less digits than its factorization.

164225511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9907 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 164225511 is about 12815.0501754773. The cubic root of 164225511 is about 547.6211428937.

Adding to 164225511 its reverse (115522461), we get a palindrome (279747972).

The spelling of 164225511 in words is "one hundred sixty-four million, two hundred twenty-five thousand, five hundred eleven".