12514719888225 has 81 divisors (see below), whose sum is σ = 23813076125163. Its totient is φ = 6281445795840.

The previous prime is 12514719888217. The next prime is 12514719888227. The reversal of 12514719888225 is 52288891741521.

The square root of 12514719888225 is 3537615.

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

12514719888225 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 471 + 9 + 88 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4794168614481 + 7720551273744 = 2189559^2 + 2778588^2 .

It is not a de Polignac number, because 12514719888225 - 2³ = 12514719888217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12514719888227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 902084889 + ... + 902098761.

Almost surely, 2^{12514719888225} is an apocalyptic number.

12514719888225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12514719888225 is the 3537615-th square number.

12514719888225 is the 1768808-th centered octagonal number.

It is an amenable number.

12514719888225 is a deficient number, since it is larger than the sum of its proper divisors (11298356236938).

12514719888225 is an frugal number, since it uses more digits than its factorization.

12514719888225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27796 (or 13898 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 63.

The spelling of 12514719888225 in words is "twelve trillion, five hundred fourteen billion, seven hundred nineteen million, eight hundred eighty-eight thousand, two hundred twenty-five".