1006481256 has 64 divisors (see below), whose sum is σ = 2747796480. Its totient is φ = 304678080.

The previous prime is 1006481249. The next prime is 1006481291. The reversal of 1006481256 is 6521846001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438945 + ... + 441231.

It is an arithmetic number, because the mean of its divisors is an integer number (42934320).

Almost surely, 2^1006481256 is an apocalyptic number.

It is an amenable number.

1006481256 is an abundant number, since it is smaller than the sum of its proper divisors (1741315224).

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

1006481256 is a wasteful number, since it uses less digits than its factorization.

1006481256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1006481256 is about 31725.0887469208. The cubic root of 1006481256 is about 1002.1557679915.

The spelling of 1006481256 in words is "one billion, six million, four hundred eighty-one thousand, two hundred fifty-six".