225263511 has 40 divisors (see below), whose sum is σ = 377072784. Its totient is φ = 132814080.

The previous prime is 225263491. The next prime is 225263513. The reversal of 225263511 is 115362522.

It is a happy number.

225263511 is a `hidden beast` number, since 2 + 25 + 2 + 635 + 1 + 1 = 666.

It is not a de Polignac number, because 225263511 - 2⁷ = 225263383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225263513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29551 + ... + 36383.

Almost surely, 2^225263511 is an apocalyptic number.

225263511 is a deficient number, since it is larger than the sum of its proper divisors (151809273).

225263511 is a wasteful number, since it uses less digits than its factorization.

225263511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6884 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 225263511 is about 15008.7811297254. The cubic root of 225263511 is about 608.4575479801.

The spelling of 225263511 in words is "two hundred twenty-five million, two hundred sixty-three thousand, five hundred eleven".