513205229 has 2 divisors, whose sum is σ = 513205230. Its totient is φ = 513205228.

The previous prime is 513205183. The next prime is 513205237. The reversal of 513205229 is 922502315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456805129 + 56400100 = 21373^2 + 7510^2 .

It is a cyclic number.

It is not a de Polignac number, because 513205229 - 2⁸ = 513204973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513202229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602614 + 256602615.

It is an arithmetic number, because the mean of its divisors is an integer number (256602615).

Almost surely, 2^513205229 is an apocalyptic number.

It is an amenable number.

513205229 is a deficient number, since it is larger than the sum of its proper divisors (1).

513205229 is an equidigital number, since it uses as much as digits as its factorization.

513205229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 513205229 is about 22654.0333936366. The cubic root of 513205229 is about 800.6272315347.

The spelling of 513205229 in words is "five hundred thirteen million, two hundred five thousand, two hundred twenty-nine".