513525416644 has 24 divisors (see below), whose sum is σ = 938254520448. Its totient is φ = 245464897920.

The previous prime is 513525416641. The next prime is 513525416659. The reversal of 513525416644 is 446614525315.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 513525416594 and 513525416603.

It is not an unprimeable number, because it can be changed into a prime (513525416641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355797 + ... + 1692700.

It is an arithmetic number, because the mean of its divisors is an integer number (39093938352).

Almost surely, 2^513525416644 is an apocalyptic number.

It is an amenable number.

513525416644 is a deficient number, since it is larger than the sum of its proper divisors (424729103804).

513525416644 is a wasteful number, since it uses less digits than its factorization.

513525416644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050355 (or 3050353 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 46.

The spelling of 513525416644 in words is "five hundred thirteen billion, five hundred twenty-five million, four hundred sixteen thousand, six hundred forty-four".