225240561 has 32 divisors (see below), whose sum is σ = 410699520. Its totient is φ = 118806912.

The previous prime is 225240559. The next prime is 225240569. The reversal of 225240561 is 165042522.

225240561 is a `hidden beast` number, since 2 + 252 + 405 + 6 + 1 = 666.

It is not a de Polignac number, because 225240561 - 2¹ = 225240559 is a prime.

It is a super-3 number, since 3×225240561³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225240569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43380 + ... + 48293.

It is an arithmetic number, because the mean of its divisors is an integer number (12834360).

Almost surely, 2^225240561 is an apocalyptic number.

225240561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225240561 is a deficient number, since it is larger than the sum of its proper divisors (185458959).

225240561 is a wasteful number, since it uses less digits than its factorization.

225240561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91702 (or 91696 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225240561 is about 15008.0165578267. The cubic root of 225240561 is about 608.4368839218.

The spelling of 225240561 in words is "two hundred twenty-five million, two hundred forty thousand, five hundred sixty-one".