22225205054313 has 96 divisors (see below), whose sum is σ = 34169490800640. Its totient is φ = 13891401216000.

The previous prime is 22225205054279. The next prime is 22225205054317. The reversal of 22225205054313 is 31345050252222.

It is a happy number.

22225205054313 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 52 + 0 + 50 + 543 + 13 = 666.

It is not a de Polignac number, because 22225205054313 - 2⁹ = 22225205053801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22225205054317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2251560768 + ... + 2251570638.

It is an arithmetic number, because the mean of its divisors is an integer number (355932195840).

Almost surely, 2^{22225205054313} is an apocalyptic number.

22225205054313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22225205054313 is a deficient number, since it is larger than the sum of its proper divisors (11944285746327).

22225205054313 is a wasteful number, since it uses less digits than its factorization.

22225205054313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 22225205054313 in words is "twenty-two trillion, two hundred twenty-five billion, two hundred five million, fifty-four thousand, three hundred thirteen".