12872631744025 has 27 divisors (see below), whose sum is σ = 16000170150783. Its totient is φ = 10273578886800.

The previous prime is 12872631743977. The next prime is 12872631744113. The reversal of 12872631744025 is 52044713627821.

The square root of 12872631744025 is 3587845.

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

It can be written as a sum of positive squares in only one way, i.e., 4634147427849 + 8238484316176 = 2152707^2 + 2870276^2 .

It is not a de Polignac number, because 12872631744025 - 2¹³ = 12872631735833 is a prime.

It is a super-2 number, since 2×12872631744025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13257086790 + ... + 13257087760.

Almost surely, 2^{12872631744025} is an apocalyptic number.

12872631744025 is the 3587845-th square number.

12872631744025 is the 1793923-rd centered octagonal number.

It is an amenable number.

12872631744025 is a deficient number, since it is larger than the sum of its proper divisors (3127538406758).

12872631744025 is an frugal number, since it uses more digits than its factorization.

12872631744025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 12872631744025 in words is "twelve trillion, eight hundred seventy-two billion, six hundred thirty-one million, seven hundred forty-four thousand, twenty-five".