1306503864576 has 81 divisors (see below), whose sum is σ = 3767130927469. Its totient is φ = 435482999808.

The previous prime is 1306503864569. The next prime is 1306503864577. The reversal of 1306503864576 is 6754683056031.

The square root of 1306503864576 is 1143024.

It is a perfect power (a square), and thus also a powerful number.

1306503864576 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 5 + 0 + 3 + 8 + 64 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 672531206400 + 633972658176 = 820080^2 + 796224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306503864577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54853246 + ... + 54877058.

Almost surely, 2^{1306503864576} is an apocalyptic number.

1306503864576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1306503864576 is the 1143024-th square number.

It is an amenable number.

1306503864576 is an abundant number, since it is smaller than the sum of its proper divisors (2460627062893).

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

1306503864576 is an frugal number, since it uses more digits than its factorization.

1306503864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47648 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1306503864576 in words is "one trillion, three hundred six billion, five hundred three million, eight hundred sixty-four thousand, five hundred seventy-six".