205042420405353 has 16 divisors (see below), whose sum is σ = 292234372246656. Its totient is φ = 127562622802560.

The previous prime is 205042420405253. The next prime is 205042420405369. The reversal of 205042420405353 is 353504024240502.

It is not a de Polignac number, because 205042420405353 - 2²⁴ = 205042403628137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205042420405253) 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 15 ways as a sum of consecutive naturals, for example, 36239378650 + ... + 36239384307.

It is an arithmetic number, because the mean of its divisors is an integer number (18264648265416).

Almost surely, 2^{205042420405353} is an apocalyptic number.

205042420405353 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205042420405353 is a deficient number, since it is larger than the sum of its proper divisors (87191951841303).

205042420405353 is a wasteful number, since it uses less digits than its factorization.

205042420405353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72478763024.

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 205042420405353 its reverse (353504024240502), we get a palindrome (558546444645855).

The spelling of 205042420405353 in words is "two hundred five trillion, forty-two billion, four hundred twenty million, four hundred five thousand, three hundred fifty-three".