205845860892673 has 2 divisors, whose sum is σ = 205845860892674. Its totient is φ = 205845860892672.

The previous prime is 205845860892613. The next prime is 205845860892677. The reversal of 205845860892673 is 376298068548502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160384190546944 + 45461670345729 = 12664288^2 + 6742527^2 .

It is a cyclic number.

It is not a de Polignac number, because 205845860892673 - 2¹³ = 205845860884481 is a prime.

It is a super-3 number, since 3×205845860892673³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205845860892596 and 205845860892605.

It is not a weakly prime, because it can be changed into another prime (205845860892677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102922930446336 + 102922930446337.

It is an arithmetic number, because the mean of its divisors is an integer number (102922930446337).

Almost surely, 2^{205845860892673} is an apocalyptic number.

It is an amenable number.

205845860892673 is a deficient number, since it is larger than the sum of its proper divisors (1).

205845860892673 is an equidigital number, since it uses as much as digits as its factorization.

205845860892673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1393459200, while the sum is 73.

The spelling of 205845860892673 in words is "two hundred five trillion, eight hundred forty-five billion, eight hundred sixty million, eight hundred ninety-two thousand, six hundred seventy-three".