513877083280 has 160 divisors (see below), whose sum is σ = 1340718438528. Its totient is φ = 181584998400.

The previous prime is 513877083253. The next prime is 513877083289. The reversal of 513877083280 is 82380778315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513877083289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4397772 + ... + 4513108.

Almost surely, 2^513877083280 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 513877083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670359219264).

513877083280 is an abundant number, since it is smaller than the sum of its proper divisors (826841355248).

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

513877083280 is a wasteful number, since it uses less digits than its factorization.

513877083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115505 (or 115499 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 513877083280 in words is "five hundred thirteen billion, eight hundred seventy-seven million, eighty-three thousand, two hundred eighty".