513720513 has 12 divisors (see below), whose sum is σ = 746188560. Its totient is φ = 340565976.

The previous prime is 513720503. The next prime is 513720517. The reversal of 513720513 is 315027315.

It is not a de Polignac number, because 513720513 - 2¹⁰ = 513719489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513720517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157831 + ... + 161052.

It is an arithmetic number, because the mean of its divisors is an integer number (62182380).

Almost surely, 2^513720513 is an apocalyptic number.

It is an amenable number.

513720513 is a deficient number, since it is larger than the sum of its proper divisors (232468047).

513720513 is a wasteful number, since it uses less digits than its factorization.

513720513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319068 (or 319065 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 513720513 is about 22665.4034378389. The cubic root of 513720513 is about 800.8950986453.

Adding to 513720513 its reverse (315027315), we get a palindrome (828747828).

The spelling of 513720513 in words is "five hundred thirteen million, seven hundred twenty thousand, five hundred thirteen".