513340338336 has 192 divisors, whose sum is σ = 1623606405120. Its totient is φ = 138732272640.

The previous prime is 513340338323. The next prime is 513340338341. The reversal of 513340338336 is 633833043315.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8229826 + ... + 8291966.

It is an arithmetic number, because the mean of its divisors is an integer number (8456283360).

Almost surely, 2^513340338336 is an apocalyptic number.

513340338336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513340338336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811803202560).

513340338336 is an abundant number, since it is smaller than the sum of its proper divisors (1110266066784).

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

513340338336 is a wasteful number, since it uses less digits than its factorization.

513340338336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62827 (or 62819 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 513340338336 in words is "five hundred thirteen billion, three hundred forty million, three hundred thirty-eight thousand, three hundred thirty-six".