513416414035 has 16 divisors (see below), whose sum is σ = 704129284800. Its totient is φ = 352049296896.

The previous prime is 513416413981. The next prime is 513416414111. The reversal of 513416414035 is 530414614315.

It is a cyclic number.

It is not a de Polignac number, because 513416414035 - 2⁷ = 513416413907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513416413985 and 513416414003.

It is an unprimeable number.

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, 1811431 + ... + 2075599.

It is an arithmetic number, because the mean of its divisors is an integer number (44008080300).

Almost surely, 2^513416414035 is an apocalyptic number.

513416414035 is a deficient number, since it is larger than the sum of its proper divisors (190712870765).

513416414035 is a wasteful number, since it uses less digits than its factorization.

513416414035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319710.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 513416414035 in words is "five hundred thirteen billion, four hundred sixteen million, four hundred fourteen thousand, thirty-five".