205035120045 has 48 divisors (see below), whose sum is σ = 424018221120. Its totient is φ = 93730337568.

The previous prime is 205035120041. The next prime is 205035120137. The reversal of 205035120045 is 540021530502.

It is a happy number.

205035120045 is a `hidden beast` number, since 20 + 50 + 351 + 200 + 45 = 666.

It is not a de Polignac number, because 205035120045 - 2² = 205035120041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205035120041) 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 47 ways as a sum of consecutive naturals, for example, 15491127 + ... + 15504356.

It is an arithmetic number, because the mean of its divisors is an integer number (8833712940).

Almost surely, 2^205035120045 is an apocalyptic number.

It is an amenable number.

205035120045 is an abundant number, since it is smaller than the sum of its proper divisors (218983101075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205035120045 is a wasteful number, since it uses less digits than its factorization.

205035120045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30995511 (or 30995498 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 205035120045 its reverse (540021530502), we get a palindrome (745056650547).

The spelling of 205035120045 in words is "two hundred five billion, thirty-five million, one hundred twenty thousand, forty-five".