12572619632521 has 15 divisors (see below), whose sum is σ = 13620950455763. Its totient is φ = 11604941902320.

The previous prime is 12572619632491. The next prime is 12572619632537. The reversal of 12572619632521 is 12523691627521.

It is a happy number.

The square root of 12572619632521 is 3545789.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12571201356921 + 1418275600 = 3545589^2 + 37660^2 .

It is not a de Polignac number, because 12572619632521 - 2¹⁹ = 12572619108233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12572619632021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 599227851 + ... + 599248831.

Almost surely, 2^{12572619632521} is an apocalyptic number.

12572619632521 is the 3545789-th square number.

12572619632521 is the 1772895-th centered octagonal number.

It is an amenable number.

12572619632521 is a deficient number, since it is larger than the sum of its proper divisors (1048330823242).

12572619632521 is an frugal number, since it uses more digits than its factorization.

12572619632521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42014 (or 20994 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 12572619632521 in words is "twelve trillion, five hundred seventy-two billion, six hundred nineteen million, six hundred thirty-two thousand, five hundred twenty-one".