513534413 has 24 divisors (see below), whose sum is σ = 625742208. Its totient is φ = 412747488.

The previous prime is 513534401. The next prime is 513534479. The reversal of 513534413 is 314435315.

It is not a de Polignac number, because 513534413 - 2¹⁸ = 513272269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513534493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259295 + ... + 261267.

It is an arithmetic number, because the mean of its divisors is an integer number (26072592).

Almost surely, 2^513534413 is an apocalyptic number.

It is an amenable number.

513534413 is a deficient number, since it is larger than the sum of its proper divisors (112207795).

513534413 is a wasteful number, since it uses less digits than its factorization.

513534413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2102 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 513534413 is about 22661.2976901147. The cubic root of 513534413 is about 800.7983764163.

Adding to 513534413 its reverse (314435315), we get a palindrome (827969728).

The spelling of 513534413 in words is "five hundred thirteen million, five hundred thirty-four thousand, four hundred thirteen".