1306764517 has 16 divisors (see below), whose sum is σ = 1404345600. Its totient is φ = 1211558400.

The previous prime is 1306764497. The next prime is 1306764523. The reversal of 1306764517 is 7154676031.

It is a cyclic number.

It is not a de Polignac number, because 1306764517 - 2¹⁵ = 1306731749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1306764517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306761517) 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 15 ways as a sum of consecutive naturals, for example, 806334 + ... + 807952.

It is an arithmetic number, because the mean of its divisors is an integer number (87771600).

Almost surely, 2^1306764517 is an apocalyptic number.

1306764517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1306764517 is a deficient number, since it is larger than the sum of its proper divisors (97581083).

1306764517 is a wasteful number, since it uses less digits than its factorization.

1306764517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 1306764517 is about 36149.1980132340. The cubic root of 1306764517 is about 1093.2826208281.

The spelling of 1306764517 in words is "one billion, three hundred six million, seven hundred sixty-four thousand, five hundred seventeen".