6515252935968 has 576 divisors, whose sum is σ = 21236096125440. Its totient is φ = 1737843351552.

The previous prime is 6515252935949. The next prime is 6515252935999. The reversal of 6515252935968 is 8695392525156.

It is a junction number, because it is equal to n+sod(n) for n = 6515252935899 and 6515252935908.

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, 6879886471 + ... + 6879887417.

It is an arithmetic number, because the mean of its divisors is an integer number (36868222440).

Almost surely, 2^{6515252935968} is an apocalyptic number.

6515252935968 is a gapful number since it is divisible by the number (68) 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 6515252935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618048062720).

6515252935968 is an abundant number, since it is smaller than the sum of its proper divisors (14720843189472).

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

6515252935968 is a wasteful number, since it uses less digits than its factorization.

6515252935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1582 counting only the distinct ones).

The product of its digits is 174960000, while the sum is 66.

The spelling of 6515252935968 in words is "six trillion, five hundred fifteen billion, two hundred fifty-two million, nine hundred thirty-five thousand, nine hundred sixty-eight".