1002056256 has 168 divisors, whose sum is σ = 2995574400. Its totient is φ = 319872000.

The previous prime is 1002056239. The next prime is 1002056267. The reversal of 1002056256 is 6526502001.

1002056256 is a `hidden beast` number, since 10 + 0 + 20 + 5 + 625 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3992131 + ... + 3992381.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^1002056256 is an apocalyptic number.

1002056256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

1002056256 is an abundant number, since it is smaller than the sum of its proper divisors (1993518144).

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

1002056256 is a wasteful number, since it uses less digits than its factorization.

1002056256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1002056256 is about 31655.2721675237. The cubic root of 1002056256 is about 1000.6849494039.

Adding to 1002056256 its reverse (6526502001), we get a palindrome (7528558257).

It can be divided in two parts, 100 and 2056256, that added together give a square (2056356 = 1434²).

The spelling of 1002056256 in words is "one billion, two million, fifty-six thousand, two hundred fifty-six".