513891273280 has 896 divisors, whose sum is σ = 1659087360000. Its totient is φ = 146817515520.

The previous prime is 513891273271. The next prime is 513891273281. The reversal of 513891273280 is 82372198315.

It is not an unprimeable number, because it can be changed into a prime (513891273281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3448934646 + ... + 3448934794.

It is an arithmetic number, because the mean of its divisors is an integer number (1851660000).

Almost surely, 2^513891273280 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 513891273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829543680000).

513891273280 is an abundant number, since it is smaller than the sum of its proper divisors (1145196086720).

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

513891273280 is a wasteful number, since it uses less digits than its factorization.

513891273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 513891273280 in words is "five hundred thirteen billion, eight hundred ninety-one million, two hundred seventy-three thousand, two hundred eighty".