10072593009 has 6 divisors (see below), whose sum is σ = 14549301026. Its totient is φ = 6715062000.

The previous prime is 10072592969. The next prime is 10072593017. The reversal of 10072593009 is 90039527001.

10072593009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5134439025 + 4938153984 = 71655^2 + 70272^2 .

It is not a de Polignac number, because 10072593009 - 2⁸ = 10072592753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10072593019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559588492 + ... + 559588509.

Almost surely, 2^10072593009 is an apocalyptic number.

It is an amenable number.

10072593009 is a deficient number, since it is larger than the sum of its proper divisors (4476708017).

10072593009 is a wasteful number, since it uses less digits than its factorization.

10072593009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119177007 (or 1119177004 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 10072593009 in words is "ten billion, seventy-two million, five hundred ninety-three thousand, nine".