1306543001985 has 256 divisors, whose sum is σ = 2745550080000. Its totient is φ = 583302021120.

The previous prime is 1306543001947. The next prime is 1306543001987. The reversal of 1306543001985 is 5891003456031.

1306543001985 is a `hidden beast` number, since 13 + 0 + 6 + 543 + 0 + 0 + 1 + 98 + 5 = 666.

It is not a de Polignac number, because 1306543001985 - 2¹⁸ = 1306542739841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1306543001985.

It is not an unprimeable number, because it can be changed into a prime (1306543001987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 518262525 + ... + 518265045.

It is an arithmetic number, because the mean of its divisors is an integer number (10724805000).

Almost surely, 2^{1306543001985} is an apocalyptic number.

1306543001985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306543001985 is an abundant number, since it is smaller than the sum of its proper divisors (1439007078015).

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

1306543001985 is a wasteful number, since it uses less digits than its factorization.

1306543001985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1306543001985 in words is "one trillion, three hundred six billion, five hundred forty-three million, one thousand, nine hundred eighty-five".