512031 has 16 divisors (see below), whose sum is σ = 775040. Its totient is φ = 298080.

The previous prime is 512021. The next prime is 512047. The reversal of 512031 is 130215.

It is not a de Polignac number, because 512031 - 2⁹ = 511519 is a prime.

It is a super-2 number, since 2×512031² = 524351489922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 511998 and 512016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512031.

It is not an unprimeable number, because it can be changed into a prime (512011) 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 15 ways as a sum of consecutive naturals, for example, 396 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (48440).

2⁵¹²⁰³¹ is an apocalyptic number.

512031 is a deficient number, since it is larger than the sum of its proper divisors (263009).

512031 is a wasteful number, since it uses less digits than its factorization.

512031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 512031 is about 715.5634143806. The cubic root of 512031 is about 80.0016145507.

Adding to 512031 its reverse (130215), we get a palindrome (642246).

It can be divided in two parts, 5120 and 31, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 512031 in words is "five hundred twelve thousand, thirty-one".