211320003042225 has 288 divisors, whose sum is σ = 498425148748800. Its totient is φ = 82915132377600.

The previous prime is 211320003042217. The next prime is 211320003042229. The reversal of 211320003042225 is 522240300023112.

211320003042225 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 200 + 0 + 30 + 422 + 2 + 5 = 666.

It is not a de Polignac number, because 211320003042225 - 2³ = 211320003042217 is a prime.

It is a super-2 number, since 2×211320003042225² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211320003042229) 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 287 ways as a sum of consecutive naturals, for example, 95352766 + ... + 97543784.

It is an arithmetic number, because the mean of its divisors is an integer number (1730642877600).

Almost surely, 2^{211320003042225} is an apocalyptic number.

211320003042225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211320003042225 is an abundant number, since it is smaller than the sum of its proper divisors (287105145706575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211320003042225 is a wasteful number, since it uses less digits than its factorization.

211320003042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191365 (or 2191357 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 211320003042225 its reverse (522240300023112), we get a palindrome (733560303065337).

The spelling of 211320003042225 in words is "two hundred eleven trillion, three hundred twenty billion, three million, forty-two thousand, two hundred twenty-five".