513020329 has 2 divisors, whose sum is σ = 513020330. Its totient is φ = 513020328.

The previous prime is 513020327. The next prime is 513020341. The reversal of 513020329 is 923020315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 496398400 + 16621929 = 22280^2 + 4077^2 .

It is a cyclic number.

It is not a de Polignac number, because 513020329 - 2¹ = 513020327 is a prime.

Together with 513020327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (513020323) 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, 256510164 + 256510165.

It is an arithmetic number, because the mean of its divisors is an integer number (256510165).

Almost surely, 2^513020329 is an apocalyptic number.

It is an amenable number.

513020329 is a deficient number, since it is larger than the sum of its proper divisors (1).

513020329 is an equidigital number, since it uses as much as digits as its factorization.

513020329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 513020329 is about 22649.9520750045. The cubic root of 513020329 is about 800.5310687337.

The spelling of 513020329 in words is "five hundred thirteen million, twenty thousand, three hundred twenty-nine".