225082837623121 has 27 divisors (see below), whose sum is σ = 243500731517883. Its totient is φ = 208024683363360.

The previous prime is 225082837623113. The next prime is 225082837623191. The reversal of 225082837623121 is 121326738280522.

The square root of 225082837623121 is 15002761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10845752437521 + 214237085185600 = 3293289^2 + 14636840^2 .

It is not a de Polignac number, because 225082837623121 - 2³ = 225082837623113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225082837623101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11687141190 + ... + 11687160448.

Almost surely, 2^{225082837623121} is an apocalyptic number.

225082837623121 is the 15002761-st square number.

225082837623121 is the 7501381-st centered octagonal number.

It is an amenable number.

225082837623121 is a deficient number, since it is larger than the sum of its proper divisors (18417893894762).

225082837623121 is an frugal number, since it uses more digits than its factorization.

225082837623121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38638 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 225082837623121 in words is "two hundred twenty-five trillion, eighty-two billion, eight hundred thirty-seven million, six hundred twenty-three thousand, one hundred twenty-one".