513352193 has 2 divisors, whose sum is σ = 513352194. Its totient is φ = 513352192.

The previous prime is 513352183. The next prime is 513352201. The reversal of 513352193 is 391253315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513339649 + 12544 = 22657^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 513352193 - 2⁶ = 513352129 is a prime.

It is not a weakly prime, because it can be changed into another prime (513352123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256676096 + 256676097.

It is an arithmetic number, because the mean of its divisors is an integer number (256676097).

Almost surely, 2^513352193 is an apocalyptic number.

It is an amenable number.

513352193 is a deficient number, since it is larger than the sum of its proper divisors (1).

513352193 is an equidigital number, since it uses as much as digits as its factorization.

513352193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12150, while the sum is 32.

The square root of 513352193 is about 22657.2768222485. The cubic root of 513352193 is about 800.7036481052.

The spelling of 513352193 in words is "five hundred thirteen million, three hundred fifty-two thousand, one hundred ninety-three".