513303341611164 has 192 divisors, whose sum is σ = 1366445203200000. Its totient is φ = 149551742396160.

The previous prime is 513303341611063. The next prime is 513303341611187. The reversal of 513303341611164 is 461116143303315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1001074774 + ... + 1001587394.

It is an arithmetic number, because the mean of its divisors is an integer number (7116902100000).

Almost surely, 2^{513303341611164} 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 513303341611164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683222601600000).

513303341611164 is an abundant number, since it is smaller than the sum of its proper divisors (853141861588836).

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

513303341611164 is a wasteful number, since it uses less digits than its factorization.

513303341611164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514685 (or 514657 counting only the distinct ones).

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

Adding to 513303341611164 its reverse (461116143303315), we get a palindrome (974419484914479).

The spelling of 513303341611164 in words is "five hundred thirteen trillion, three hundred three billion, three hundred forty-one million, six hundred eleven thousand, one hundred sixty-four".