6513163500000 has 336 divisors, whose sum is σ = 21406633804080. Its totient is φ = 1733952000000.

The previous prime is 6513163499989. The next prime is 6513163500007. The reversal of 6513163500000 is 53613156.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6513163500007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991496716 + ... + 991503284.

It is an arithmetic number, because the mean of its divisors is an integer number (63710219655).

Almost surely, 2^{6513163500000} is an apocalyptic number.

6513163500000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6513163500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703316902040).

6513163500000 is an abundant number, since it is smaller than the sum of its proper divisors (14893470304080).

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

6513163500000 is an frugal number, since it uses more digits than its factorization.

6513163500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 6513163500000 in words is "six trillion, five hundred thirteen billion, one hundred sixty-three million, five hundred thousand".