520193 has 2 divisors, whose sum is σ = 520194. Its totient is φ = 520192.

The previous prime is 520151. The next prime is 520213. The reversal of 520193 is 391025.

It is an a-pointer prime, because the next prime (520213) can be obtained adding 520193 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 237169 = 532^2 + 487^2 .

It is a cyclic number.

It is not a de Polignac number, because 520193 - 2⁶ = 520129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 520193.

It is not a weakly prime, because it can be changed into another prime (520103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260096 + 260097.

It is an arithmetic number, because the mean of its divisors is an integer number (260097).

It is a Proth number, since it is equal to 127 ⋅ 2¹² + 1 and 127 < 2¹².

2⁵²⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

520193 is a deficient number, since it is larger than the sum of its proper divisors (1).

520193 is an equidigital number, since it uses as much as digits as its factorization.

520193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 520193 is about 721.2440641004. The cubic root of 520193 is about 80.4244626601.

The spelling of 520193 in words is "five hundred twenty thousand, one hundred ninety-three".