205933532401 has 3 divisors (see below), whose sum is σ = 205933986201. Its totient is φ = 205933078602.

The previous prime is 205933532369. The next prime is 205933532419. The reversal of 205933532401 is 104235339502.

The square root of 205933532401 is 453799.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 205933532401 - 2⁵ = 205933532369 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205933532461) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 226900 + ... + 680698.

It is an arithmetic number, because the mean of its divisors is an integer number (68644662067).

Almost surely, 2^205933532401 is an apocalyptic number.

205933532401 is the 453799-th square number.

205933532401 is the 226900-th centered octagonal number.

It is an amenable number.

205933532401 is a deficient number, since it is larger than the sum of its proper divisors (453800).

205933532401 is an frugal number, since it uses more digits than its factorization.

205933532401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907598 (or 453799 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 205933532401 in words is "two hundred five billion, nine hundred thirty-three million, five hundred thirty-two thousand, four hundred one".