512313 has 8 divisors (see below), whose sum is σ = 686400. Its totient is φ = 339888.

The previous prime is 512311. The next prime is 512321. The reversal of 512313 is 313215.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 512313 - 2¹ = 512311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 512292 and 512301.

It is not an unprimeable number, because it can be changed into a prime (512311) 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 in 7 ways as a sum of consecutive naturals, for example, 948 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (85800).

2⁵¹²³¹³ is an apocalyptic number.

It is an amenable number.

512313 is a deficient number, since it is larger than the sum of its proper divisors (174087).

512313 is a wasteful number, since it uses less digits than its factorization.

512313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its digits is 90, while the sum is 15.

The square root of 512313 is about 715.7604347825. The cubic root of 512313 is about 80.0162987625.

Adding to 512313 its reverse (313215), we get a palindrome (825528).

The spelling of 512313 in words is "five hundred twelve thousand, three hundred thirteen".