6526054656 has 567 divisors, whose sum is σ = 22805052613. Its totient is φ = 1861263360.

The previous prime is 6526054651. The next prime is 6526054687. The reversal of 6526054656 is 6564506256.

It is a happy number.

The square root of 6526054656 is 80784.

It is a perfect power (a square), and thus also a powerful number.

6526054656 is a `hidden beast` number, since 6 + 52 + 6 + 0 + 546 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5080838400 + 1445216256 = 71280^2 + 38016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6526054651) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 383885560 + ... + 383885576.

Almost surely, 2^6526054656 is an apocalyptic number.

6526054656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6526054656 is the 80784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6526054656

6526054656 is an abundant number, since it is smaller than the sum of its proper divisors (16278997957).

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

6526054656 is an equidigital number, since it uses as much as digits as its factorization.

6526054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The cubic root of 6526054656 is about 1868.7458257033.

The spelling of 6526054656 in words is "six billion, five hundred twenty-six million, fifty-four thousand, six hundred fifty-six".