221205624113225 has 24 divisors (see below), whose sum is σ = 285892162063872. Its totient is φ = 169593287702400.

The previous prime is 221205624113203. The next prime is 221205624113297. The reversal of 221205624113225 is 522311426502122.

It is a de Polignac number, because none of the positive numbers 2^k-221205624113225 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1385486252 + ... + 1385645901.

It is an arithmetic number, because the mean of its divisors is an integer number (11912173419328).

Almost surely, 2^{221205624113225} is an apocalyptic number.

221205624113225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221205624113225 is a deficient number, since it is larger than the sum of its proper divisors (64686537950647).

221205624113225 is a wasteful number, since it uses less digits than its factorization.

221205624113225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771132297 (or 2771132292 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 221205624113225 in words is "two hundred twenty-one trillion, two hundred five billion, six hundred twenty-four million, one hundred thirteen thousand, two hundred twenty-five".