513621216636 has 96 divisors (see below), whose sum is σ = 1327618682880. Its totient is φ = 153238219200.

The previous prime is 513621216623. The next prime is 513621216643. The reversal of 513621216636 is 636612126315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17770845 + ... + 17799723.

It is an arithmetic number, because the mean of its divisors is an integer number (13829361280).

Almost surely, 2^513621216636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513621216636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663809341440).

513621216636 is an abundant number, since it is smaller than the sum of its proper divisors (813997466244).

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

513621216636 is a wasteful number, since it uses less digits than its factorization.

513621216636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30975 (or 30973 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The spelling of 513621216636 in words is "five hundred thirteen billion, six hundred twenty-one million, two hundred sixteen thousand, six hundred thirty-six".