1006463313 has 10 divisors (see below), whose sum is σ = 1503482354. Its totient is φ = 670975488.

The previous prime is 1006463309. The next prime is 1006463323. The reversal of 1006463313 is 3133646001.

1006463313 is a `hidden beast` number, since 1 + 0 + 0 + 646 + 3 + 3 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 846111744 + 160351569 = 29088^2 + 12663^2 .

It is not a de Polignac number, because 1006463313 - 2² = 1006463309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006463303) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6212656 + ... + 6212817.

Almost surely, 2^1006463313 is an apocalyptic number.

It is an amenable number.

1006463313 is a deficient number, since it is larger than the sum of its proper divisors (497019041).

1006463313 is an equidigital number, since it uses as much as digits as its factorization.

1006463313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425485 (or 12425476 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1006463313 is about 31724.8059568534. The cubic root of 1006463313 is about 1002.1498126603.

The spelling of 1006463313 in words is "one billion, six million, four hundred sixty-three thousand, three hundred thirteen".