513468941865600 has 384 divisors, whose sum is σ = 1934147511636480. Its totient is φ = 117285167001600.

The previous prime is 513468941865553. The next prime is 513468941865647. The reversal of 513468941865600 is 6568149864315.

It is an interprime number because it is at equal distance from previous prime (513468941865553) and next prime (513468941865647).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97081435 + ... + 102233765.

It is an arithmetic number, because the mean of its divisors is an integer number (5036842478220).

Almost surely, 2^{513468941865600} is an apocalyptic number.

513468941865600 is a gapful number since it is divisible by the number (50) 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 513468941865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967073755818240).

513468941865600 is an abundant number, since it is smaller than the sum of its proper divisors (1420678569770880).

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

513468941865600 is a wasteful number, since it uses less digits than its factorization.

513468941865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153848 (or 5153831 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 513468941865600 in words is "five hundred thirteen trillion, four hundred sixty-eight billion, nine hundred forty-one million, eight hundred sixty-five thousand, six hundred".