1005413313 has 8 divisors (see below), whose sum is σ = 1348579008. Its totient is φ = 666261584.

The previous prime is 1005413309. The next prime is 1005413317. The reversal of 1005413313 is 3133145001.

It is an interprime number because it is at equal distance from previous prime (1005413309) and next prime (1005413317).

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 1005413313 - 2² = 1005413309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005413313.

It is not an unprimeable number, because it can be changed into a prime (1005413317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002906 + ... + 1003907.

It is an arithmetic number, because the mean of its divisors is an integer number (168572376).

Almost surely, 2^1005413313 is an apocalyptic number.

It is an amenable number.

1005413313 is a deficient number, since it is larger than the sum of its proper divisors (343165695).

1005413313 is a wasteful number, since it uses less digits than its factorization.

1005413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006983.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1005413313 is about 31708.2530739238. The cubic root of 1005413313 is about 1001.8011914282.

Adding to 1005413313 its reverse (3133145001), we get a palindrome (4138558314).

The spelling of 1005413313 in words is "one billion, five million, four hundred thirteen thousand, three hundred thirteen".