205253416473 has 16 divisors (see below), whose sum is σ = 313099518336. Its totient is φ = 117163013760.

The previous prime is 205253416453. The next prime is 205253416523. The reversal of 205253416473 is 374614352502.

205253416473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205253416473 - 2²⁰ = 205252367897 is a prime.

It is a super-3 number, since 3×205253416473³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (205253416453) 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 15 ways as a sum of consecutive naturals, for example, 5173636 + ... + 5213157.

It is an arithmetic number, because the mean of its divisors is an integer number (19568719896).

Almost surely, 2^205253416473 is an apocalyptic number.

It is an amenable number.

205253416473 is a deficient number, since it is larger than the sum of its proper divisors (107846101863).

205253416473 is a wasteful number, since it uses less digits than its factorization.

205253416473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387744.

The product of its (nonzero) digits is 604800, while the sum is 42.

Adding to 205253416473 its reverse (374614352502), we get a palindrome (579867768975).

The spelling of 205253416473 in words is "two hundred five billion, two hundred fifty-three million, four hundred sixteen thousand, four hundred seventy-three".