513423412331016 has 512 divisors, whose sum is σ = 1496519006976000. Its totient is φ = 145397175091200.

The previous prime is 513423412330991. The next prime is 513423412331021. The reversal of 513423412331016 is 610133214324315.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3869308000 + ... + 3869440688.

It is an arithmetic number, because the mean of its divisors is an integer number (2922888685500).

Almost surely, 2^{513423412331016} 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 513423412331016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748259503488000).

513423412331016 is an abundant number, since it is smaller than the sum of its proper divisors (983095594644984).

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

513423412331016 is a wasteful number, since it uses less digits than its factorization.

513423412331016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132965 (or 132961 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 513423412331016 in words is "five hundred thirteen trillion, four hundred twenty-three billion, four hundred twelve million, three hundred thirty-one thousand, sixteen".