6513778385300 has 144 divisors (see below), whose sum is σ = 14420283292800. Its totient is φ = 2553566400000.

The previous prime is 6513778385299. The next prime is 6513778385311. The reversal of 6513778385300 is 35838773156.

It is a congruent number.

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, 395942075 + ... + 395958525.

It is an arithmetic number, because the mean of its divisors is an integer number (100140856200).

Almost surely, 2^{6513778385300} 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 6513778385300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210141646400).

6513778385300 is an abundant number, since it is smaller than the sum of its proper divisors (7906504907500).

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

6513778385300 is a wasteful number, since it uses less digits than its factorization.

6513778385300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 6513778385300 in words is "six trillion, five hundred thirteen billion, seven hundred seventy-eight million, three hundred eighty-five thousand, three hundred".