205132252401 has 12 divisors (see below), whose sum is σ = 297403640820. Its totient is φ = 136246451040.

The previous prime is 205132252397. The next prime is 205132252417. The reversal of 205132252401 is 104252231502.

205132252401 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 3 + 2 + 252 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26943581025 + 178188671376 = 164145^2 + 422124^2 .

It is not a de Polignac number, because 205132252401 - 2² = 205132252397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205132252201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42362770 + ... + 42367611.

It is an arithmetic number, because the mean of its divisors is an integer number (24783636735).

Almost surely, 2^205132252401 is an apocalyptic number.

It is an amenable number.

205132252401 is a deficient number, since it is larger than the sum of its proper divisors (92271388419).

205132252401 is a wasteful number, since it uses less digits than its factorization.

205132252401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84730656 (or 84730653 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 205132252401 its reverse (104252231502), we get a palindrome (309384483903).

The spelling of 205132252401 in words is "two hundred five billion, one hundred thirty-two million, two hundred fifty-two thousand, four hundred one".