513214142202513 has 12 divisors (see below), whose sum is σ = 773540156363520. Its totient is φ = 327266989230456.

The previous prime is 513214142202481. The next prime is 513214142202527. The reversal of 513214142202513 is 315202241412315.

513214142202513 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 414 + 220 + 2 + 5 + 13 = 666.

It is not a de Polignac number, because 513214142202513 - 2⁵ = 513214142202481 is a prime.

It is a super-2 number, since 2×513214142202513² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513214142222513) 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, 1239647686273 + ... + 1239647686686.

It is an arithmetic number, because the mean of its divisors is an integer number (64461679696960).

Almost surely, 2^{513214142202513} is an apocalyptic number.

It is an amenable number.

513214142202513 is a deficient number, since it is larger than the sum of its proper divisors (260326014161007).

513214142202513 is a wasteful number, since it uses less digits than its factorization.

513214142202513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479295372988 (or 2479295372985 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 513214142202513 its reverse (315202241412315), we get a palindrome (828416383614828).

The spelling of 513214142202513 in words is "five hundred thirteen trillion, two hundred fourteen billion, one hundred forty-two million, two hundred two thousand, five hundred thirteen".