513216601440 has 384 divisors, whose sum is σ = 1753045991424. Its totient is φ = 125832960000.

The previous prime is 513216601421. The next prime is 513216601451. The reversal of 513216601440 is 44106612315.

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, 51673275 + ... + 51683205.

It is an arithmetic number, because the mean of its divisors is an integer number (4565223936).

Almost surely, 2^513216601440 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 513216601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876522995712).

513216601440 is an abundant number, since it is smaller than the sum of its proper divisors (1239829389984).

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

513216601440 is a wasteful number, since it uses less digits than its factorization.

513216601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 513216601440 in words is "five hundred thirteen billion, two hundred sixteen million, six hundred one thousand, four hundred forty".