1082606954256 has 135 divisors (see below), whose sum is σ = 3131803655253. Its totient is φ = 349103191680.

The previous prime is 1082606954243. The next prime is 1082606954309. The reversal of 1082606954256 is 6524596062801.

The square root of 1082606954256 is 1040484.

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

1082606954256 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 606 + 9 + 5 + 4 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 800416515600 + 282190438656 = 894660^2 + 531216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387058650 + ... + 387061446.

Almost surely, 2^{1082606954256} is an apocalyptic number.

1082606954256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082606954256 is the 1040484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082606954256

1082606954256 is an abundant number, since it is smaller than the sum of its proper divisors (2049196700997).

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

1082606954256 is an frugal number, since it uses more digits than its factorization.

1082606954256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1082606954256 in words is "one trillion, eighty-two billion, six hundred six million, nine hundred fifty-four thousand, two hundred fifty-six".