6526006256 has 120 divisors (see below), whose sum is σ = 15952645632. Its totient is φ = 2531548800.

The previous prime is 6526006237. The next prime is 6526006303.

6526006256 = T₇₄₀₁ + T₇₄₀₂ + ... + T₇₆₃₁.

6526006256 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6526006256² = 85177515306702275072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3563261 + ... + 3565091.

Almost surely, 2^6526006256 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 6526006256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976322816).

6526006256 is an abundant number, since it is smaller than the sum of its proper divisors (9426639376).

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

6526006256 is a wasteful number, since it uses less digits than its factorization.

6526006256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 6526006256 is about 80783.7004351744. The cubic root of 6526006256 is about 1868.7412058870.

It can be divided in two parts, 652600 and 6256, that added together give a palindrome (658856).

The spelling of 6526006256 in words is "six billion, five hundred twenty-six million, six thousand, two hundred fifty-six".