6513222016 has 128 divisors (see below), whose sum is σ = 15389890560. Its totient is φ = 2686832640.

The previous prime is 6513222011. The next prime is 6513222103. The reversal of 6513222016 is 6102223156.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6513222016² = 84844122059414208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6513222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6304636 + ... + 6305668.

It is an arithmetic number, because the mean of its divisors is an integer number (120233520).

Almost surely, 2^6513222016 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 6513222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694945280).

6513222016 is an abundant number, since it is smaller than the sum of its proper divisors (8876668544).

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

6513222016 is a wasteful number, since it uses less digits than its factorization.

6513222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6513222016 is about 80704.5352876776. The cubic root of 6513222016 is about 1867.5201398761.

The spelling of 6513222016 in words is "six billion, five hundred thirteen million, two hundred twenty-two thousand, sixteen".