205428217017311 has 2 divisors, whose sum is σ = 205428217017312. Its totient is φ = 205428217017310.

The previous prime is 205428217017277. The next prime is 205428217017319. The reversal of 205428217017311 is 113710712824502.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205428217017311 is a prime.

It is a super-2 number, since 2×205428217017311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205428217017319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102714108508655 + 102714108508656.

It is an arithmetic number, because the mean of its divisors is an integer number (102714108508656).

Almost surely, 2^{205428217017311} is an apocalyptic number.

205428217017311 is a deficient number, since it is larger than the sum of its proper divisors (1).

205428217017311 is an equidigital number, since it uses as much as digits as its factorization.

205428217017311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 205428217017311 in words is "two hundred five trillion, four hundred twenty-eight billion, two hundred seventeen million, seventeen thousand, three hundred eleven".