205321221344505 has 64 divisors (see below), whose sum is σ = 377207099043840. Its totient is φ = 93420752350464.

The previous prime is 205321221344453. The next prime is 205321221344507. The reversal of 205321221344505 is 505443122123502.

It is not a de Polignac number, because 205321221344505 - 2⁹ = 205321221343993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205321221344507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72353932 + ... + 75138098.

It is an arithmetic number, because the mean of its divisors is an integer number (5893860922560).

Almost surely, 2^{205321221344505} is an apocalyptic number.

It is an amenable number.

205321221344505 is a deficient number, since it is larger than the sum of its proper divisors (171885877699335).

205321221344505 is a wasteful number, since it uses less digits than its factorization.

205321221344505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787478.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 205321221344505 in words is "two hundred five trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred forty-four thousand, five hundred five".