513745829 has 2 divisors, whose sum is σ = 513745830. Its totient is φ = 513745828.

The previous prime is 513745823. The next prime is 513745877. The reversal of 513745829 is 928547315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 453264100 + 60481729 = 21290^2 + 7777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513745829 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513745829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513745823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256872914 + 256872915.

It is an arithmetic number, because the mean of its divisors is an integer number (256872915).

Almost surely, 2^513745829 is an apocalyptic number.

It is an amenable number.

513745829 is a deficient number, since it is larger than the sum of its proper divisors (1).

513745829 is an equidigital number, since it uses as much as digits as its factorization.

513745829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 44.

The square root of 513745829 is about 22665.9619032593. The cubic root of 513745829 is about 800.9082543897.

The spelling of 513745829 in words is "five hundred thirteen million, seven hundred forty-five thousand, eight hundred twenty-nine".