12889356530625 has 45 divisors (see below), whose sum is σ = 23265488131743. Its totient is φ = 6874179876000.

The previous prime is 12889356530597. The next prime is 12889356530657. The reversal of 12889356530625 is 52603565398821.

It is a happy number.

The square root of 12889356530625 is 3590175.

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

12889356530625 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 9 + 3 + 565 + 3 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5923620954801 + 6965735575824 = 2433849^2 + 2639268^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12889356530625 - 2⁷ = 12889356530497 is a prime.

It is a super-2 number, since 2×12889356530625² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 269239191 + ... + 269287059.

Almost surely, 2^{12889356530625} is an apocalyptic number.

12889356530625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12889356530625 is the 3590175-th square number.

12889356530625 is the 1795088-th centered octagonal number.

It is an amenable number.

12889356530625 is a deficient number, since it is larger than the sum of its proper divisors (10376131601118).

12889356530625 is an frugal number, since it uses more digits than its factorization.

12889356530625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95764 (or 47877 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 12889356530625 in words is "twelve trillion, eight hundred eighty-nine billion, three hundred fifty-six million, five hundred thirty thousand, six hundred twenty-five".