513135413 has 16 divisors (see below), whose sum is σ = 618000000. Its totient is φ = 416212992.

The previous prime is 513135407. The next prime is 513135421. The reversal of 513135413 is 314531315.

It is a cyclic number.

It is not a de Polignac number, because 513135413 - 2⁶ = 513135349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513135433) 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, 164573 + ... + 167661.

It is an arithmetic number, because the mean of its divisors is an integer number (38625000).

Almost surely, 2^513135413 is an apocalyptic number.

It is an amenable number.

513135413 is a deficient number, since it is larger than the sum of its proper divisors (104864587).

513135413 is a wasteful number, since it uses less digits than its factorization.

513135413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364.

The product of its digits is 2700, while the sum is 26.

The square root of 513135413 is about 22652.4924235723. The cubic root of 513135413 is about 800.5909243406.

Adding to 513135413 its reverse (314531315), we get a palindrome (827666728).

The spelling of 513135413 in words is "five hundred thirteen million, one hundred thirty-five thousand, four hundred thirteen".