205709585093 has 8 divisors (see below), whose sum is σ = 217815998400. Its totient is φ = 193603821760.

The previous prime is 205709585071. The next prime is 205709585099. The reversal of 205709585093 is 390585907502.

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 205709585093 - 2¹⁶ = 205709519557 is a prime.

It is a super-3 number, since 3×205709585093³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205709585099) 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 7 ways as a sum of consecutive naturals, for example, 588248 + ... + 870318.

It is an arithmetic number, because the mean of its divisors is an integer number (27226999800).

Almost surely, 2^205709585093 is an apocalyptic number.

It is an amenable number.

205709585093 is a deficient number, since it is larger than the sum of its proper divisors (12106413307).

205709585093 is a wasteful number, since it uses less digits than its factorization.

205709585093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324987.

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 205709585093 in words is "two hundred five billion, seven hundred nine million, five hundred eighty-five thousand, ninety-three".