513356321 has 2 divisors, whose sum is σ = 513356322. Its totient is φ = 513356320.

The previous prime is 513356303. The next prime is 513356351. The reversal of 513356321 is 123653315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497067025 + 16289296 = 22295^2 + 4036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513356321 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513356351) 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, 256678160 + 256678161.

It is an arithmetic number, because the mean of its divisors is an integer number (256678161).

Almost surely, 2^513356321 is an apocalyptic number.

It is an amenable number.

513356321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513356321 is an equidigital number, since it uses as much as digits as its factorization.

513356321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 29.

The square root of 513356321 is about 22657.3679186264. The cubic root of 513356321 is about 800.7057943223.

The spelling of 513356321 in words is "five hundred thirteen million, three hundred fifty-six thousand, three hundred twenty-one".