513210413 has 16 divisors (see below), whose sum is σ = 528099264. Its totient is φ = 498624000.

The previous prime is 513210403. The next prime is 513210449. The reversal of 513210413 is 314012315.

It is a cyclic number.

It is not a de Polignac number, because 513210413 - 2⁸ = 513210157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513210403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044538 + ... + 2044788.

It is an arithmetic number, because the mean of its divisors is an integer number (33006204).

Almost surely, 2^513210413 is an apocalyptic number.

It is an amenable number.

513210413 is a deficient number, since it is larger than the sum of its proper divisors (14888851).

513210413 is a wasteful number, since it uses less digits than its factorization.

513210413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513210413 is about 22654.1478100590. The cubic root of 513210413 is about 800.6299272968.

Adding to 513210413 its reverse (314012315), we get a palindrome (827222728).

The spelling of 513210413 in words is "five hundred thirteen million, two hundred ten thousand, four hundred thirteen".