1306713564 has 36 divisors (see below), whose sum is σ = 3557165976. Its totient is φ = 402065568.

The previous prime is 1306713557. The next prime is 1306713593. The reversal of 1306713564 is 4653176031.

1306713564 is a `hidden beast` number, since 1 + 30 + 67 + 1 + 3 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395594 + ... + 1396529.

It is an arithmetic number, because the mean of its divisors is an integer number (98810166).

Almost surely, 2^1306713564 is an apocalyptic number.

It is an amenable number.

1306713564 is an abundant number, since it is smaller than the sum of its proper divisors (2250452412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306713564 is a wasteful number, since it uses less digits than its factorization.

1306713564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792146 (or 2792141 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1306713564 is about 36148.4932466071. The cubic root of 1306713564 is about 1093.2684109857.

Adding to 1306713564 its reverse (4653176031), we get a palindrome (5959889595).

The spelling of 1306713564 in words is "one billion, three hundred six million, seven hundred thirteen thousand, five hundred sixty-four".