1006743613 has 8 divisors (see below), whose sum is σ = 1041826680. Its totient is φ = 971685120.

The previous prime is 1006743601. The next prime is 1006743641. The reversal of 1006743613 is 3163476001.

It can be written as a sum of positive squares in 4 ways, for example, as 458329 + 1006285284 = 677^2 + 31722^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006743613 - 2²⁹ = 469872701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006743653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124881 + ... + 132697.

It is an arithmetic number, because the mean of its divisors is an integer number (130228335).

Almost surely, 2^1006743613 is an apocalyptic number.

It is an amenable number.

1006743613 is a deficient number, since it is larger than the sum of its proper divisors (35083067).

1006743613 is an equidigital number, since it uses as much as digits as its factorization.

1006743613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1006743613 is about 31729.2233280300. The cubic root of 1006743613 is about 1002.2428369218.

The spelling of 1006743613 in words is "one billion, six million, seven hundred forty-three thousand, six hundred thirteen".