512193 has 24 divisors (see below), whose sum is σ = 804384. Its totient is φ = 288640.

The previous prime is 512167. The next prime is 512207. The reversal of 512193 is 391215.

It is not a de Polignac number, because 512193 - 2¹⁰ = 511169 is a prime.

It is an Ulam number.

512193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (512093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130 + ... + 6212.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁵¹²¹⁹³ is an apocalyptic number.

It is an amenable number.

512193 is a deficient number, since it is larger than the sum of its proper divisors (292191).

512193 is a wasteful number, since it uses less digits than its factorization.

512193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 512193 is about 715.6766029430. The cubic root of 512193 is about 80.0100508205.

The spelling of 512193 in words is "five hundred twelve thousand, one hundred ninety-three".