513463988928 has 224 divisors, whose sum is σ = 1511681398272. Its totient is φ = 152509235200.

The previous prime is 513463988927. The next prime is 513463988951. The reversal of 513463988928 is 829889364315.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (513463988927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25931800 + ... + 25951592.

Almost surely, 2^513463988928 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 513463988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755840699136).

513463988928 is an abundant number, since it is smaller than the sum of its proper divisors (998217409344).

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

513463988928 is a wasteful number, since it uses less digits than its factorization.

513463988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063 (or 20053 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

The spelling of 513463988928 in words is "five hundred thirteen billion, four hundred sixty-three million, nine hundred eighty-eight thousand, nine hundred twenty-eight".