12587718025 has 27 divisors (see below), whose sum is σ = 16487482773. Its totient is φ = 9532087200.

The previous prime is 12587717993. The next prime is 12587718061. The reversal of 12587718025 is 52081778521.

The square root of 12587718025 is 112195.

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

12587718025 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 1492045129 + 11095672896 = 38627^2 + 105336^2 .

It is not a de Polignac number, because 12587718025 - 2⁵ = 12587717993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10657935 + ... + 10659115.

Almost surely, 2^12587718025 is an apocalyptic number.

12587718025 is the 112195-th square number.

12587718025 is the 56098-th centered octagonal number.

It is an amenable number.

12587718025 is a deficient number, since it is larger than the sum of its proper divisors (3899764748).

12587718025 is an frugal number, since it uses more digits than its factorization.

12587718025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 46.

The spelling of 12587718025 in words is "twelve billion, five hundred eighty-seven million, seven hundred eighteen thousand, twenty-five".