225202512321 has 12 divisors (see below), whose sum is σ = 326214030948. Its totient is φ = 149709694464.

The previous prime is 225202512307. The next prime is 225202512329. The reversal of 225202512321 is 123215202522.

225202512321 is a `hidden beast` number, since 225 + 202 + 5 + 1 + 232 + 1 = 666.

225202512321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42156302400 + 183046209921 = 205320^2 + 427839^2 .

It is not a de Polignac number, because 225202512321 - 2⁷ = 225202512193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225202512329) 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 11 ways as a sum of consecutive naturals, for example, 35439460 + ... + 35445813.

It is an arithmetic number, because the mean of its divisors is an integer number (27184502579).

Almost surely, 2^225202512321 is an apocalyptic number.

It is an amenable number.

225202512321 is a deficient number, since it is larger than the sum of its proper divisors (101011518627).

225202512321 is a wasteful number, since it uses less digits than its factorization.

225202512321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70885632 (or 70885629 counting only the distinct ones).

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

Adding to 225202512321 its reverse (123215202522), we get a palindrome (348417714843).

The spelling of 225202512321 in words is "two hundred twenty-five billion, two hundred two million, five hundred twelve thousand, three hundred twenty-one".