205009503471 has 16 divisors (see below), whose sum is σ = 303903381600. Its totient is φ = 136589482944.

The previous prime is 205009503443. The next prime is 205009503509. The reversal of 205009503471 is 174305900502.

205009503471 is a `hidden beast` number, since 2 + 0 + 500 + 9 + 50 + 34 + 71 = 666.

It is not a de Polignac number, because 205009503471 - 2¹¹ = 205009501423 is a prime.

It is a super-3 number, since 3×205009503471³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205009503271) 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, 2274966 + ... + 2363363.

It is an arithmetic number, because the mean of its divisors is an integer number (18993961350).

Almost surely, 2^205009503471 is an apocalyptic number.

205009503471 is a deficient number, since it is larger than the sum of its proper divisors (98893878129).

205009503471 is a wasteful number, since it uses less digits than its factorization.

205009503471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639975 (or 4639969 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 205009503471 in words is "two hundred five billion, nine million, five hundred three thousand, four hundred seventy-one".