205356011001 has 16 divisors (see below), whose sum is σ = 295384454784. Its totient is φ = 126419681024.

The previous prime is 205356010961. The next prime is 205356011017. The reversal of 205356011001 is 100110653502.

It is a cyclic number.

It is not a de Polignac number, because 205356011001 - 2¹⁰ = 205356009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205356011401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37983981 + ... + 37989386.

It is an arithmetic number, because the mean of its divisors is an integer number (18461528424).

Almost surely, 2^205356011001 is an apocalyptic number.

It is an amenable number.

205356011001 is a deficient number, since it is larger than the sum of its proper divisors (90028443783).

205356011001 is a wasteful number, since it uses less digits than its factorization.

205356011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75973440.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 205356011001 its reverse (100110653502), we get a palindrome (305466664503).

The spelling of 205356011001 in words is "two hundred five billion, three hundred fifty-six million, eleven thousand, one".