513311009 has 2 divisors, whose sum is σ = 513311010. Its totient is φ = 513311008.

The previous prime is 513310999. The next prime is 513311023. The reversal of 513311009 is 900113315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 445083409 + 68227600 = 21097^2 + 8260^2 .

It is a cyclic number.

It is not a de Polignac number, because 513311009 - 2²⁰ = 512262433 is a prime.

It is not a weakly prime, because it can be changed into another prime (513311059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256655504 + 256655505.

It is an arithmetic number, because the mean of its divisors is an integer number (256655505).

Almost surely, 2^513311009 is an apocalyptic number.

It is an amenable number.

513311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

513311009 is an equidigital number, since it uses as much as digits as its factorization.

513311009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 513311009 is about 22656.3679569343. The cubic root of 513311009 is about 800.6822352160.

The spelling of 513311009 in words is "five hundred thirteen million, three hundred eleven thousand, nine".