512820321 has 16 divisors (see below), whose sum is σ = 760112640. Its totient is φ = 305400960.

The previous prime is 512820313. The next prime is 512820323. The reversal of 512820321 is 123028215.

It is not a de Polignac number, because 512820321 - 2³ = 512820313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 512820291 and 512820300.

It is not an unprimeable number, because it can be changed into a prime (512820323) 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, 210876 + ... + 213293.

It is an arithmetic number, because the mean of its divisors is an integer number (47507040).

Almost surely, 2^512820321 is an apocalyptic number.

It is an amenable number.

512820321 is a deficient number, since it is larger than the sum of its proper divisors (247292319).

512820321 is a wasteful number, since it uses less digits than its factorization.

512820321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424216.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 512820321 is about 22645.5364476093. The cubic root of 512820321 is about 800.4270225450.

Adding to 512820321 its reverse (123028215), we get a palindrome (635848536).

The spelling of 512820321 in words is "five hundred twelve million, eight hundred twenty thousand, three hundred twenty-one".