513040349 has 2 divisors, whose sum is σ = 513040350. Its totient is φ = 513040348.

The previous prime is 513040309. The next prime is 513040351. The reversal of 513040349 is 943040315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494395225 + 18645124 = 22235^2 + 4318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513040349 is a prime.

Together with 513040351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513040309) 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, 256520174 + 256520175.

It is an arithmetic number, because the mean of its divisors is an integer number (256520175).

Almost surely, 2^513040349 is an apocalyptic number.

It is an amenable number.

513040349 is a deficient number, since it is larger than the sum of its proper divisors (1).

513040349 is an equidigital number, since it uses as much as digits as its factorization.

513040349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 513040349 is about 22650.3940142330. The cubic root of 513040349 is about 800.5414818516.

The spelling of 513040349 in words is "five hundred thirteen million, forty thousand, three hundred forty-nine".