205213325201 has 16 divisors (see below), whose sum is σ = 216336849408. Its totient is φ = 194274696000.

The previous prime is 205213325159. The next prime is 205213325221. The reversal of 205213325201 is 102523312502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205213325201 - 2¹⁰ = 205213324177 is a prime.

It is a super-2 number, since 2×205213325201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205213325221) 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, 6784331 + ... + 6814511.

It is an arithmetic number, because the mean of its divisors is an integer number (13521053088).

Almost surely, 2^205213325201 is an apocalyptic number.

It is an amenable number.

205213325201 is a deficient number, since it is larger than the sum of its proper divisors (11123524207).

205213325201 is a wasteful number, since it uses less digits than its factorization.

205213325201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33232.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 205213325201 its reverse (102523312502), we get a palindrome (307736637703).

The spelling of 205213325201 in words is "two hundred five billion, two hundred thirteen million, three hundred twenty-five thousand, two hundred one".