512073 has 6 divisors (see below), whose sum is σ = 739674. Its totient is φ = 341376.

The previous prime is 512059. The next prime is 512093. The reversal of 512073 is 370215.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 233289 = 528^2 + 483^2 .

It is not a de Polignac number, because 512073 - 2⁶ = 512009 is a prime.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 28440 + ... + 28457.

It is an arithmetic number, because the mean of its divisors is an integer number (123279).

2⁵¹²⁰⁷³ is an apocalyptic number.

It is an amenable number.

512073 is a deficient number, since it is larger than the sum of its proper divisors (227601).

512073 is a wasteful number, since it uses less digits than its factorization.

512073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56903 (or 56900 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 512073 is about 715.5927612826. The cubic root of 512073 is about 80.0038019026.

Adding to 512073 its reverse (370215), we get a palindrome (882288).

The spelling of 512073 in words is "five hundred twelve thousand, seventy-three".