4135205205 has 48 divisors (see below), whose sum is σ = 7598026800. Its totient is φ = 2073329664.

The previous prime is 4135205153. The next prime is 4135205233. The reversal of 4135205205 is 5025025314.

It is a happy number.

4135205205 is a `hidden beast` number, since 4 + 135 + 2 + 0 + 520 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 571831569 + 3563373636 = 23913^2 + 59694^2 .

It is not a de Polignac number, because 4135205205 - 2⁷ = 4135205077 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 799909 + ... + 805061.

It is an arithmetic number, because the mean of its divisors is an integer number (158292225).

Almost surely, 2^4135205205 is an apocalyptic number.

4135205205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4135205205 is a deficient number, since it is larger than the sum of its proper divisors (3462821595).

4135205205 is a wasteful number, since it uses less digits than its factorization.

4135205205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6227 counting only the distinct ones).

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

The square root of 4135205205 is about 64305.5612291814. The cubic root of 4135205205 is about 1605.0886433122.

The spelling of 4135205205 in words is "four billion, one hundred thirty-five million, two hundred five thousand, two hundred five".