205772106731 has 2 divisors, whose sum is σ = 205772106732. Its totient is φ = 205772106730.

The previous prime is 205772106643. The next prime is 205772106779. The reversal of 205772106731 is 137601277502.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205772106731 is a prime.

It is a super-2 number, since 2×205772106731² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205772106031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102886053365 + 102886053366.

It is an arithmetic number, because the mean of its divisors is an integer number (102886053366).

Almost surely, 2^205772106731 is an apocalyptic number.

205772106731 is a deficient number, since it is larger than the sum of its proper divisors (1).

205772106731 is an equidigital number, since it uses as much as digits as its factorization.

205772106731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 205772106731 in words is "two hundred five billion, seven hundred seventy-two million, one hundred six thousand, seven hundred thirty-one".