2301364224225 has 72 divisors (see below), whose sum is σ = 4501529821152. Its totient is φ = 1114620998400.

The previous prime is 2301364224223. The next prime is 2301364224239. The reversal of 2301364224225 is 5224224631032.

2301364224225 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 6 + 422 + 4 + 225 = 666.

It is not a de Polignac number, because 2301364224225 - 2¹ = 2301364224223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2301364224225.

It is not an unprimeable number, because it can be changed into a prime (2301364224223) 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 71 ways as a sum of consecutive naturals, for example, 1822894 + ... + 2815256.

It is an arithmetic number, because the mean of its divisors is an integer number (62521247516).

Almost surely, 2^{2301364224225} is an apocalyptic number.

2301364224225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2301364224225 is a deficient number, since it is larger than the sum of its proper divisors (2200165596927).

2301364224225 is a wasteful number, since it uses less digits than its factorization.

2301364224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993327 (or 993319 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2301364224225 its reverse (5224224631032), we get a palindrome (7525588855257).

The spelling of 2301364224225 in words is "two trillion, three hundred one billion, three hundred sixty-four million, two hundred twenty-four thousand, two hundred twenty-five".