1305240313 has 8 divisors (see below), whose sum is σ = 1406264328. Its totient is φ = 1204305024.

The previous prime is 1305240311. The next prime is 1305240319. The reversal of 1305240313 is 3130425031.

It can be written as a sum of positive squares in 4 ways, for example, as 12981609 + 1292258704 = 3603^2 + 35948^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1305240313 - 2¹ = 1305240311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305240311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10131 + ... + 52087.

It is an arithmetic number, because the mean of its divisors is an integer number (175783041).

Almost surely, 2^1305240313 is an apocalyptic number.

1305240313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305240313 is a deficient number, since it is larger than the sum of its proper divisors (101024015).

1305240313 is a wasteful number, since it uses less digits than its factorization.

1305240313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44363.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1305240313 is about 36128.1097346651. The cubic root of 1305240313 is about 1092.8573888829.

Adding to 1305240313 its reverse (3130425031), we get a palindrome (4435665344).

The spelling of 1305240313 in words is "one billion, three hundred five million, two hundred forty thousand, three hundred thirteen".