205715513 has 2 divisors, whose sum is σ = 205715514. Its totient is φ = 205715512.

The previous prime is 205715459. The next prime is 205715551. The reversal of 205715513 is 315517502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171924544 + 33790969 = 13112^2 + 5813^2 .

It is a cyclic number.

It is not a de Polignac number, because 205715513 - 2¹⁰ = 205714489 is a prime.

It is equal to p_11377802 and since 205715513 and 11377802 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (205714513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102857756 + 102857757.

It is an arithmetic number, because the mean of its divisors is an integer number (102857757).

Almost surely, 2^205715513 is an apocalyptic number.

It is an amenable number.

205715513 is a deficient number, since it is larger than the sum of its proper divisors (1).

205715513 is an equidigital number, since it uses as much as digits as its factorization.

205715513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 205715513 is about 14342.7860961530. The cubic root of 205715513 is about 590.3220620274.

The spelling of 205715513 in words is "two hundred five million, seven hundred fifteen thousand, five hundred thirteen".