6512006281170 has 192 divisors, whose sum is σ = 18456818889600. Its totient is φ = 1456639758336.

The previous prime is 6512006281163. The next prime is 6512006281229. The reversal of 6512006281170 is 711826002156.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4991881 + ... + 6159779.

It is an arithmetic number, because the mean of its divisors is an integer number (96129265050).

Almost surely, 2^{6512006281170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512006281170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228409444800).

6512006281170 is an abundant number, since it is smaller than the sum of its proper divisors (11944812608430).

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

6512006281170 is a wasteful number, since it uses less digits than its factorization.

6512006281170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167997 (or 1167968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 6512006281170 in words is "six trillion, five hundred twelve billion, six million, two hundred eighty-one thousand, one hundred seventy".