6505512516 has 96 divisors (see below), whose sum is σ = 17289216000. Its totient is φ = 2114701344.

The previous prime is 6505512469. The next prime is 6505512521. The reversal of 6505512516 is 6152155056.

6505512516 is a `hidden beast` number, since 6 + 50 + 551 + 2 + 51 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805225 + ... + 813263.

It is an arithmetic number, because the mean of its divisors is an integer number (180096000).

Almost surely, 2^6505512516 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 6505512516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644608000).

6505512516 is an abundant number, since it is smaller than the sum of its proper divisors (10783703484).

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

6505512516 is a wasteful number, since it uses less digits than its factorization.

6505512516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 6505512516 is about 80656.7574106472. The cubic root of 6505512516 is about 1866.7830069638.

The spelling of 6505512516 in words is "six billion, five hundred five million, five hundred twelve thousand, five hundred sixteen".