6561256 has 48 divisors (see below), whose sum is σ = 13966560. Its totient is φ = 2882880.

The previous prime is 6561223. The next prime is 6561259. The reversal of 6561256 is 6521656.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6561259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30991 + ... + 31201.

It is an arithmetic number, because the mean of its divisors is an integer number (290970).

Almost surely, 2^6561256 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 6561256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983280).

6561256 is an abundant number, since it is smaller than the sum of its proper divisors (7405304).

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

6561256 is a wasteful number, since it uses less digits than its factorization.

6561256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 6561256 is about 2561.4948760441. The cubic root of 6561256 is about 187.2099788919.

It can be divided in two parts, 6561 and 256, that multiplied together give a 8-th power (1679616 = 6⁸).

The spelling of 6561256 in words is "six million, five hundred sixty-one thousand, two hundred fifty-six".