1306413305 has 16 divisors (see below), whose sum is σ = 1651097280. Its totient is φ = 989589312.

The previous prime is 1306413281. The next prime is 1306413307. The reversal of 1306413305 is 5033146031.

It is not a de Polignac number, because 1306413305 - 2⁸ = 1306413049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1306413307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335027 + ... + 338903.

It is an arithmetic number, because the mean of its divisors is an integer number (103193580).

Almost surely, 2^1306413305 is an apocalyptic number.

It is an amenable number.

1306413305 is a deficient number, since it is larger than the sum of its proper divisors (344683975).

1306413305 is a wasteful number, since it uses less digits than its factorization.

1306413305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1306413305 is about 36144.3398750067. The cubic root of 1306413305 is about 1093.1846668418.

Adding to 1306413305 its reverse (5033146031), we get a palindrome (6339559336).

The spelling of 1306413305 in words is "one billion, three hundred six million, four hundred thirteen thousand, three hundred five".