225511 has 16 divisors (see below), whose sum is σ = 282240. Its totient is φ = 177120.

The previous prime is 225509. The next prime is 225523. The reversal of 225511 is 115522.

It is a cyclic number.

It is not a de Polignac number, because 225511 - 2¹ = 225509 is a prime.

It is a super-2 number, since 2×225511² = 101710422242, which contains 22 as substring.

It is a Duffinian number.

225511 is a lucky number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225581) 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 15 ways as a sum of consecutive naturals, for example, 2676 + ... + 2758.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²²⁵⁵¹¹ is an apocalyptic number.

225511 is a deficient number, since it is larger than the sum of its proper divisors (56729).

225511 is a wasteful number, since it uses less digits than its factorization.

225511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 100, while the sum is 16.

The square root of 225511 is about 474.8799848383. The cubic root of 225511 is about 60.8680296640.

The spelling of 225511 in words is "two hundred twenty-five thousand, five hundred eleven".