205314012032319 has 24 divisors (see below), whose sum is σ = 296784603601200. Its totient is φ = 136774514701440.

The previous prime is 205314012032287. The next prime is 205314012032333. The reversal of 205314012032319 is 913230210413502.

205314012032319 is a `hidden beast` number, since 2 + 0 + 5 + 31 + 401 + 203 + 2 + 3 + 19 = 666.

It is not a de Polignac number, because 205314012032319 - 2⁵ = 205314012032287 is a prime.

It is a super-2 number, since 2×205314012032319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205314012030319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319776724 + ... + 320418134.

It is an arithmetic number, because the mean of its divisors is an integer number (12366025150050).

Almost surely, 2^{205314012032319} is an apocalyptic number.

205314012032319 is a deficient number, since it is larger than the sum of its proper divisors (91470591568881).

205314012032319 is a wasteful number, since it uses less digits than its factorization.

205314012032319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667735 (or 667732 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 205314012032319 in words is "two hundred five trillion, three hundred fourteen billion, twelve million, thirty-two thousand, three hundred nineteen".