205414513 has 2 divisors, whose sum is σ = 205414514. Its totient is φ = 205414512.

The previous prime is 205414501. The next prime is 205414523. The reversal of 205414513 is 315414502.

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., 110313009 + 95101504 = 10503^2 + 9752^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205414513 is a prime.

It is not a weakly prime, because it can be changed into another prime (205414523) 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, 102707256 + 102707257.

It is an arithmetic number, because the mean of its divisors is an integer number (102707257).

Almost surely, 2^205414513 is an apocalyptic number.

It is an amenable number.

205414513 is a deficient number, since it is larger than the sum of its proper divisors (1).

205414513 is an equidigital number, since it uses as much as digits as its factorization.

205414513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 205414513 is about 14332.2891751457. The cubic root of 205414513 is about 590.0340045517.

The spelling of 205414513 in words is "two hundred five million, four hundred fourteen thousand, five hundred thirteen".