225006653361 has 32 divisors (see below), whose sum is σ = 344112007168. Its totient is φ = 128108822400.

The previous prime is 225006653323. The next prime is 225006653419. The reversal of 225006653361 is 163356600522.

225006653361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225006653361 - 2¹¹ = 225006651313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225006653461) 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 31 ways as a sum of consecutive naturals, for example, 18733620 + ... + 18745626.

It is an arithmetic number, because the mean of its divisors is an integer number (10753500224).

Almost surely, 2^225006653361 is an apocalyptic number.

225006653361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225006653361 is a deficient number, since it is larger than the sum of its proper divisors (119105353807).

225006653361 is a wasteful number, since it uses less digits than its factorization.

225006653361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15181.

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 225006653361 in words is "two hundred twenty-five billion, six million, six hundred fifty-three thousand, three hundred sixty-one".