6512819380002 has 192 divisors, whose sum is σ = 16058628698112. Its totient is φ = 1893371760000.

The previous prime is 6512819379991. The next prime is 6512819380007. The reversal of 6512819380002 is 2000839182156.

It is a self number, because there is not a number n which added to its sum of digits gives 6512819380002.

It is not an unprimeable number, because it can be changed into a prime (6512819380007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1388362477 + ... + 1388367167.

It is an arithmetic number, because the mean of its divisors is an integer number (83638691136).

Almost surely, 2^{6512819380002} is an apocalyptic number.

6512819380002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512819380002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029314349056).

6512819380002 is an abundant number, since it is smaller than the sum of its proper divisors (9545809318110).

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

6512819380002 is a wasteful number, since it uses less digits than its factorization.

6512819380002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6512819380002 in words is "six trillion, five hundred twelve billion, eight hundred nineteen million, three hundred eighty thousand, two".