205728013 has 2 divisors, whose sum is σ = 205728014. Its totient is φ = 205728012.

The previous prime is 205727971. The next prime is 205728023. The reversal of 205728013 is 310827502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205578244 + 149769 = 14338^2 + 387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205728013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205728023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102864006 + 102864007.

It is an arithmetic number, because the mean of its divisors is an integer number (102864007).

Almost surely, 2^205728013 is an apocalyptic number.

It is an amenable number.

205728013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205728013 is an equidigital number, since it uses as much as digits as its factorization.

205728013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 205728013 is about 14343.2218486643. The cubic root of 205728013 is about 590.3340184686.

The spelling of 205728013 in words is "two hundred five million, seven hundred twenty-eight thousand, thirteen".