205038500017 has 8 divisors (see below), whose sum is σ = 220856599656. Its totient is φ = 189226958592.

The previous prime is 205038499933. The next prime is 205038500021. The reversal of 205038500017 is 710005830502.

It can be written as a sum of positive squares in 4 ways, for example, as 10543387761 + 194495112256 = 102681^2 + 441016^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205038500017 - 2¹⁹ = 205037975729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205038500617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574518 + ... + 1699759.

It is an arithmetic number, because the mean of its divisors is an integer number (27607074957).

Almost surely, 2^205038500017 is an apocalyptic number.

It is an amenable number.

205038500017 is a deficient number, since it is larger than the sum of its proper divisors (15818099639).

205038500017 is a wasteful number, since it uses less digits than its factorization.

205038500017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279107.

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 205038500017 in words is "two hundred five billion, thirty-eight million, five hundred thousand, seventeen".