10057557573 has 72 divisors (see below), whose sum is σ = 17308189080. Its totient is φ = 5609640960.

The previous prime is 10057557557. The next prime is 10057557577. The reversal of 10057557573 is 37575575001.

10057557573 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 7 + 5 + 575 + 73 = 666.

10057557573 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 4 ways, for example, as 1758711969 + 8298845604 = 41937^2 + 91098^2 .

It is not a de Polignac number, because 10057557573 - 2⁴ = 10057557557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057557577) 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 71 ways as a sum of consecutive naturals, for example, 3684073 + ... + 3686801.

It is an arithmetic number, because the mean of its divisors is an integer number (240391515).

Almost surely, 2^10057557573 is an apocalyptic number.

It is an amenable number.

10057557573 is a deficient number, since it is larger than the sum of its proper divisors (7250631507).

10057557573 is a wasteful number, since it uses less digits than its factorization.

10057557573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 643125, while the sum is 45.

The spelling of 10057557573 in words is "ten billion, fifty-seven million, five hundred fifty-seven thousand, five hundred seventy-three".