513620640612 has 36 divisors (see below), whose sum is σ = 1298340667260. Its totient is φ = 171204002112.

The previous prime is 513620640607. The next prime is 513620640629. The reversal of 513620640612 is 216046026315.

513620640612 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 2 + 0 + 640 + 6 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198502327296 + 315118313316 = 445536^2 + 561354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3867814 + ... + 3998402.

It is an arithmetic number, because the mean of its divisors is an integer number (36065018535).

Almost surely, 2^513620640612 is an apocalyptic number.

It is an amenable number.

513620640612 is an abundant number, since it is smaller than the sum of its proper divisors (784720026648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513620640612 is a wasteful number, since it uses less digits than its factorization.

513620640612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239852 (or 239847 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 513620640612 its reverse (216046026315), we get a palindrome (729666666927).

The spelling of 513620640612 in words is "five hundred thirteen billion, six hundred twenty million, six hundred forty thousand, six hundred twelve".