513683413 has 2 divisors, whose sum is σ = 513683414. Its totient is φ = 513683412.

The previous prime is 513683381. The next prime is 513683419. The reversal of 513683413 is 314386315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 493595089 + 20088324 = 22217^2 + 4482^2 .

It is a cyclic number.

It is not a de Polignac number, because 513683413 - 2⁵ = 513683381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513683419) 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, 256841706 + 256841707.

It is an arithmetic number, because the mean of its divisors is an integer number (256841707).

Almost surely, 2^513683413 is an apocalyptic number.

It is an amenable number.

513683413 is a deficient number, since it is larger than the sum of its proper divisors (1).

513683413 is an equidigital number, since it uses as much as digits as its factorization.

513683413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 513683413 is about 22664.5849950975. The cubic root of 513683413 is about 800.8758184319.

The spelling of 513683413 in words is "five hundred thirteen million, six hundred eighty-three thousand, four hundred thirteen".