513036321 has 48 divisors (see below), whose sum is σ = 850808448. Its totient is φ = 273504000.

The previous prime is 513036313. The next prime is 513036323. The reversal of 513036321 is 123630315.

It is a happy number.

It is not a de Polignac number, because 513036321 - 2³ = 513036313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513036291 and 513036300.

It is not an unprimeable number, because it can be changed into a prime (513036323) 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 47 ways as a sum of consecutive naturals, for example, 136771 + ... + 140471.

It is an arithmetic number, because the mean of its divisors is an integer number (17725176).

Almost surely, 2^513036321 is an apocalyptic number.

It is an amenable number.

513036321 is a deficient number, since it is larger than the sum of its proper divisors (337772127).

513036321 is a wasteful number, since it uses less digits than its factorization.

513036321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 513036321 is about 22650.3050972829. The cubic root of 513036321 is about 800.5393867665.

Adding to 513036321 its reverse (123630315), we get a palindrome (636666636).

The spelling of 513036321 in words is "five hundred thirteen million, thirty-six thousand, three hundred twenty-one".