6520515456 has 768 divisors, whose sum is σ = 24223449600. Its totient is φ = 1532805120.

The previous prime is 6520515431. The next prime is 6520515481. The reversal of 6520515456 is 6545150256.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6520515431) and next prime (6520515481).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 106893666 + ... + 106893726.

It is an arithmetic number, because the mean of its divisors is an integer number (31540950).

Almost surely, 2^6520515456 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 6520515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

6520515456 is an abundant number, since it is smaller than the sum of its proper divisors (17702934144).

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

6520515456 is a wasteful number, since it uses less digits than its factorization.

6520515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The square root of 6520515456 is about 80749.7087053570. The cubic root of 6520515456 is about 1868.2169565530.

The spelling of 6520515456 in words is "six billion, five hundred twenty million, five hundred fifteen thousand, four hundred fifty-six".