12627753138025 has 45 divisors (see below), whose sum is σ = 16003171390115. Its totient is φ = 9884568588000.

The previous prime is 12627753138019. The next prime is 12627753138029. The reversal of 12627753138025 is 52083135772621.

It is a happy number.

The square root of 12627753138025 is 3553555.

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 9011685790809 + 3616067347216 = 3001947^2 + 1901596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12627753138025 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12627753138029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66113890680 + ... + 66113890870.

Almost surely, 2^{12627753138025} is an apocalyptic number.

12627753138025 is the 3553555-th square number.

12627753138025 is the 1776778-th centered octagonal number.

It is an amenable number.

12627753138025 is a deficient number, since it is larger than the sum of its proper divisors (3375418252090).

12627753138025 is an frugal number, since it uses more digits than its factorization.

12627753138025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 12627753138025 in words is "twelve trillion, six hundred twenty-seven billion, seven hundred fifty-three million, one hundred thirty-eight thousand, twenty-five".