1305002313 has 32 divisors (see below), whose sum is σ = 2064353280. Its totient is φ = 812805840.

The previous prime is 1305002273. The next prime is 1305002323. The reversal of 1305002313 is 3132005031.

1305002313 is a `hidden beast` number, since 130 + 500 + 2 + 31 + 3 = 666.

It is not a de Polignac number, because 1305002313 - 2¹⁰ = 1305001289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305002323) 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 31 ways as a sum of consecutive naturals, for example, 2268 + ... + 51138.

It is an arithmetic number, because the mean of its divisors is an integer number (64511040).

Almost surely, 2^1305002313 is an apocalyptic number.

It is an amenable number.

1305002313 is a deficient number, since it is larger than the sum of its proper divisors (759350967).

1305002313 is a wasteful number, since it uses less digits than its factorization.

1305002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48946 (or 48940 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1305002313 is about 36124.8157503952. The cubic root of 1305002313 is about 1092.7909602806.

Adding to 1305002313 its reverse (3132005031), we get a palindrome (4437007344).

The spelling of 1305002313 in words is "one billion, three hundred five million, two thousand, three hundred thirteen".