513025820736 has 504 divisors, whose sum is σ = 1655518529952. Its totient is φ = 139959705600.

The previous prime is 513025820729. The next prime is 513025820767. The reversal of 513025820736 is 637028520315.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160972935 + ... + 160976121.

It is an arithmetic number, because the mean of its divisors is an integer number (3284758988).

Almost surely, 2^513025820736 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 513025820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827759264976).

513025820736 is an abundant number, since it is smaller than the sum of its proper divisors (1142492709216).

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

513025820736 is a wasteful number, since it uses less digits than its factorization.

513025820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 513025820736 in words is "five hundred thirteen billion, twenty-five million, eight hundred twenty thousand, seven hundred thirty-six".