513727013 has 2 divisors, whose sum is σ = 513727014. Its totient is φ = 513727012.

The previous prime is 513727003. The next prime is 513727033. The reversal of 513727013 is 310727315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 348270244 + 165456769 = 18662^2 + 12863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513727013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513727003) 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, 256863506 + 256863507.

It is an arithmetic number, because the mean of its divisors is an integer number (256863507).

Almost surely, 2^513727013 is an apocalyptic number.

It is an amenable number.

513727013 is a deficient number, since it is larger than the sum of its proper divisors (1).

513727013 is an equidigital number, since it uses as much as digits as its factorization.

513727013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 513727013 is about 22665.5468277295. The cubic root of 513727013 is about 800.8984764847.

It can be divided in two parts, 51372 and 7013, that added together give a palindrome (58385).

The spelling of 513727013 in words is "five hundred thirteen million, seven hundred twenty-seven thousand, thirteen".