513284113 has 2 divisors, whose sum is σ = 513284114. Its totient is φ = 513284112.

The previous prime is 513284099. The next prime is 513284131. The reversal of 513284113 is 311482315.

It is a happy number.

Together with next prime (513284131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505035729 + 8248384 = 22473^2 + 2872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513284113 is a prime.

It is not a weakly prime, because it can be changed into another prime (513284173) 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, 256642056 + 256642057.

It is an arithmetic number, because the mean of its divisors is an integer number (256642057).

Almost surely, 2^513284113 is an apocalyptic number.

It is an amenable number.

513284113 is a deficient number, since it is larger than the sum of its proper divisors (1).

513284113 is an equidigital number, since it uses as much as digits as its factorization.

513284113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 513284113 is about 22655.7743853526. The cubic root of 513284113 is about 800.6682505003.

The spelling of 513284113 in words is "five hundred thirteen million, two hundred eighty-four thousand, one hundred thirteen".