2205211321053 has 72 divisors (see below), whose sum is σ = 3511551963192. Its totient is φ = 1325414098944.

The previous prime is 2205211321031. The next prime is 2205211321067. The reversal of 2205211321053 is 3501231125022.

2205211321053 is a `hidden beast` number, since 2 + 2 + 0 + 521 + 1 + 32 + 105 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739508842809 + 1465702478244 = 859947^2 + 1210662^2 .

It is not a de Polignac number, because 2205211321053 - 2⁵ = 2205211321021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205211323053) 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 71 ways as a sum of consecutive naturals, for example, 90599301 + ... + 90623637.

Almost surely, 2^{2205211321053} is an apocalyptic number.

It is an amenable number.

2205211321053 is a deficient number, since it is larger than the sum of its proper divisors (1306340642139).

2205211321053 is a wasteful number, since it uses less digits than its factorization.

2205211321053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635 (or 24529 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2205211321053 its reverse (3501231125022), we get a palindrome (5706442446075).

The spelling of 2205211321053 in words is "two trillion, two hundred five billion, two hundred eleven million, three hundred twenty-one thousand, fifty-three".