513416414017 has 64 divisors (see below), whose sum is σ = 584672256000. Its totient is φ = 447626995200.

The previous prime is 513416413981. The next prime is 513416414111. The reversal of 513416414017 is 710414614315.

It is not a de Polignac number, because 513416414017 - 2¹⁹ = 513415889729 is a prime.

It is a super-3 number, since 3×513416414017³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513416418017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354660534 + ... + 1354660912.

It is an arithmetic number, because the mean of its divisors is an integer number (9135504000).

Almost surely, 2^513416414017 is an apocalyptic number.

It is an amenable number.

513416414017 is a deficient number, since it is larger than the sum of its proper divisors (71255841983).

513416414017 is a wasteful number, since it uses less digits than its factorization.

513416414017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 513416414017 in words is "five hundred thirteen billion, four hundred sixteen million, four hundred fourteen thousand, seventeen".