1005350313 has 16 divisors (see below), whose sum is σ = 1463587776. Its totient is φ = 608778240.

The previous prime is 1005350237. The next prime is 1005350323. The reversal of 1005350313 is 3130535001.

It is a happy number.

It is not a de Polignac number, because 1005350313 - 2¹⁴ = 1005333929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005350313.

It is not an unprimeable number, because it can be changed into a prime (1005350323) 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 15 ways as a sum of consecutive naturals, for example, 27645 + ... + 52677.

It is an arithmetic number, because the mean of its divisors is an integer number (91474236).

Almost surely, 2^1005350313 is an apocalyptic number.

It is an amenable number.

1005350313 is a deficient number, since it is larger than the sum of its proper divisors (458237463).

1005350313 is a wasteful number, since it uses less digits than its factorization.

1005350313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26264.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 1005350313 is about 31707.2596261487. The cubic root of 1005350313 is about 1001.7802664373.

Adding to 1005350313 its reverse (3130535001), we get a palindrome (4135885314).

The spelling of 1005350313 in words is "one billion, five million, three hundred fifty thousand, three hundred thirteen".