1985272546009 has 27 divisors (see below), whose sum is σ = 2064721680567. Its totient is φ = 1908841503744.

The previous prime is 1985272546007. The next prime is 1985272546021. The reversal of 1985272546009 is 9006452725891.

It is a happy number.

The square root of 1985272546009 is 1408997.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1753307015625 + 231965530384 = 1324125^2 + 481628^2 .

It is not a de Polignac number, because 1985272546009 - 2¹ = 1985272546007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1985272546007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5891016289 + ... + 5891016625.

Almost surely, 2^{1985272546009} is an apocalyptic number.

1985272546009 is the 1408997-th square number.

1985272546009 is the 704499-th centered octagonal number.

It is an amenable number.

1985272546009 is a deficient number, since it is larger than the sum of its proper divisors (79449134558).

1985272546009 is an frugal number, since it uses more digits than its factorization.

1985272546009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

It can be divided in two parts, 1985272 and 546009, that added together give a square (2531281 = 1591²).

The spelling of 1985272546009 in words is "one trillion, nine hundred eighty-five billion, two hundred seventy-two million, five hundred forty-six thousand, nine".