1005313007 has 2 divisors, whose sum is σ = 1005313008. Its totient is φ = 1005313006.

The previous prime is 1005312967. The next prime is 1005313019. The reversal of 1005313007 is 7003135001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005313007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005313007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005343007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502656503 + 502656504.

It is an arithmetic number, because the mean of its divisors is an integer number (502656504).

Almost surely, 2^1005313007 is an apocalyptic number.

1005313007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005313007 is an equidigital number, since it uses as much as digits as its factorization.

1005313007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 1005313007 is about 31706.6713327022. The cubic root of 1005313007 is about 1001.7678751092.

Adding to 1005313007 its reverse (7003135001), we get a palindrome (8008448008).

The spelling of 1005313007 in words is "one billion, five million, three hundred thirteen thousand, seven".