513657603646 has 32 divisors (see below), whose sum is σ = 845888515200. Its totient is φ = 231993110880.

The previous prime is 513657603619. The next prime is 513657603649. The reversal of 513657603646 is 646306756315.

It is a junction number, because it is equal to n+sod(n) for n = 513657603593 and 513657603602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513657603649) 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 15 ways as a sum of consecutive naturals, for example, 17589085 + ... + 17618263.

It is an arithmetic number, because the mean of its divisors is an integer number (26434016100).

Almost surely, 2^513657603646 is an apocalyptic number.

513657603646 is a deficient number, since it is larger than the sum of its proper divisors (332230911554).

513657603646 is a wasteful number, since it uses less digits than its factorization.

513657603646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34264.

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 513657603646 in words is "five hundred thirteen billion, six hundred fifty-seven million, six hundred three thousand, six hundred forty-six".