205074028201 has 9 divisors (see below), whose sum is σ = 238559189751. Its totient is φ = 175775021352.

The previous prime is 205074028189. The next prime is 205074028273. The reversal of 205074028201 is 102820470502.

It is a happy number.

The square root of 205074028201 is 452851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94368768025 + 110705260176 = 307195^2 + 332724^2 .

It is not a de Polignac number, because 205074028201 - 2⁹ = 205074027689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205074058201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3137611 + ... + 3202303.

It is an arithmetic number, because the mean of its divisors is an integer number (26506576639).

Almost surely, 2^205074028201 is an apocalyptic number.

205074028201 is the 452851-st square number.

205074028201 is the 226426-th centered octagonal number.

It is an amenable number.

205074028201 is a deficient number, since it is larger than the sum of its proper divisors (33485161550).

205074028201 is an frugal number, since it uses more digits than its factorization.

205074028201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129400 (or 64700 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

Adding to 205074028201 its reverse (102820470502), we get a palindrome (307894498703).

The spelling of 205074028201 in words is "two hundred five billion, seventy-four million, twenty-eight thousand, two hundred one".