12781433025 has 27 divisors (see below), whose sum is σ = 22896004521. Its totient is φ = 6815859840.

The previous prime is 12781433003. The next prime is 12781433089. The reversal of 12781433025 is 52033418721.

The square root of 12781433025 is 113055.

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

12781433025 is a `hidden beast` number, since 127 + 81 + 433 + 0 + 25 = 666.

12781433025 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 564110001 + 12217323024 = 23751^2 + 110532^2 .

It is not a de Polignac number, because 12781433025 - 2⁹ = 12781432513 is a prime.

It is a super-3 number, since 3×12781433025³ (a number of 31 digits) contains 333 as substring.

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, 1692057 + ... + 1699593.

Almost surely, 2^12781433025 is an apocalyptic number.

12781433025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12781433025 is the 113055-th square number.

12781433025 is the 56528-th centered octagonal number.

It is an amenable number.

12781433025 is a deficient number, since it is larger than the sum of its proper divisors (10114571496).

12781433025 is an frugal number, since it uses more digits than its factorization.

12781433025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 12781433025 by its sum of digits (36), we get a square (460131588900 = 678330²).

The spelling of 12781433025 in words is "twelve billion, seven hundred eighty-one million, four hundred thirty-three thousand, twenty-five".