12575457521 has 12 divisors (see below), whose sum is σ = 13866257076. Its totient is φ = 11396135520.

The previous prime is 12575457509. The next prime is 12575457539.

12575457521 is nontrivially palindromic in base 10.

12575457521 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 2 ways, for example, as 329821921 + 12245635600 = 18161^2 + 110660^2 .

It is not a de Polignac number, because 12575457521 - 2²² = 12571263217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12575757521) 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 11 ways as a sum of consecutive naturals, for example, 125570 + ... + 202283.

It is an arithmetic number, because the mean of its divisors is an integer number (1155521423).

Almost surely, 2^12575457521 is an apocalyptic number.

12575457521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12575457521 is a deficient number, since it is larger than the sum of its proper divisors (1290799555).

12575457521 is a wasteful number, since it uses less digits than its factorization.

12575457521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328192 (or 328181 counting only the distinct ones).

The product of its digits is 490000, while the sum is 44.

The spelling of 12575457521 in words is "twelve billion, five hundred seventy-five million, four hundred fifty-seven thousand, five hundred twenty-one".