1006873313 has 2 divisors, whose sum is σ = 1006873314. Its totient is φ = 1006873312.

The previous prime is 1006873303. The next prime is 1006873349. The reversal of 1006873313 is 3133786001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 782712529 + 224160784 = 27977^2 + 14972^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006873313 - 2²⁴ = 990096097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006873313.

It is not a weakly prime, because it can be changed into another prime (1006873303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503436656 + 503436657.

It is an arithmetic number, because the mean of its divisors is an integer number (503436657).

Almost surely, 2^1006873313 is an apocalyptic number.

It is an amenable number.

1006873313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006873313 is an equidigital number, since it uses as much as digits as its factorization.

1006873313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 1006873313 is about 31731.2671193572. The cubic root of 1006873313 is about 1002.2858751268.

The spelling of 1006873313 in words is "one billion, six million, eight hundred seventy-three thousand, three hundred thirteen".