1306776564 has 30 divisors (see below), whose sum is σ = 3416172914. Its totient is φ = 435592080.

The previous prime is 1306776557. The next prime is 1306776629. The reversal of 1306776564 is 4656776031.

1306776564 is a `hidden beast` number, since 13 + 0 + 6 + 7 + 76 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1271492964 + 35283600 = 35658^2 + 5940^2 .

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 9 ways as a sum of consecutive naturals, for example, 2016307 + ... + 2016954.

Almost surely, 2^1306776564 is an apocalyptic number.

It is an amenable number.

1306776564 is an abundant number, since it is smaller than the sum of its proper divisors (2109396350).

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

1306776564 is a wasteful number, since it uses less digits than its factorization.

1306776564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033277 (or 4033266 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 1306776564 is about 36149.3646417195. The cubic root of 1306776564 is about 1093.2859804579.

The spelling of 1306776564 in words is "one billion, three hundred six million, seven hundred seventy-six thousand, five hundred sixty-four".