513463193 has 2 divisors, whose sum is σ = 513463194. Its totient is φ = 513463192.

The previous prime is 513463157. The next prime is 513463207. The reversal of 513463193 is 391364315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453988249 + 59474944 = 21307^2 + 7712^2 .

It is a cyclic number.

It is not a de Polignac number, because 513463193 - 2²⁴ = 496685977 is a prime.

It is not a weakly prime, because it can be changed into another prime (513463103) 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, 256731596 + 256731597.

It is an arithmetic number, because the mean of its divisors is an integer number (256731597).

Almost surely, 2^513463193 is an apocalyptic number.

It is an amenable number.

513463193 is a deficient number, since it is larger than the sum of its proper divisors (1).

513463193 is an equidigital number, since it uses as much as digits as its factorization.

513463193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 35.

The square root of 513463193 is about 22659.7262340038. The cubic root of 513463193 is about 800.7613548811.

The spelling of 513463193 in words is "five hundred thirteen million, four hundred sixty-three thousand, one hundred ninety-three".