12785737761225 has 243 divisors, whose sum is σ = 27273418659669. Its totient is φ = 5718855542400.

The previous prime is 12785737761217. The next prime is 12785737761227. The reversal of 12785737761225 is 52216773758721.

The square root of 12785737761225 is 3575715.

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

12785737761225 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 5 + 7 + 3 + 7 + 7 + 612 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3295542821769 + 9490194939456 = 1815363^2 + 3080616^2 .

It is not a de Polignac number, because 12785737761225 - 2³ = 12785737761217 is a prime.

It is a super-2 number, since 2×12785737761225² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12785737761227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7669907842 + ... + 7669909508.

Almost surely, 2^{12785737761225} is an apocalyptic number.

12785737761225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12785737761225 is the 3575715-th square number.

12785737761225 is the 1787858-th centered octagonal number.

It is an amenable number.

12785737761225 is an abundant number, since it is smaller than the sum of its proper divisors (14487680898444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12785737761225 is a wasteful number, since it uses less digits than its factorization.

12785737761225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 1699 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 63.

The spelling of 12785737761225 in words is "twelve trillion, seven hundred eighty-five billion, seven hundred thirty-seven million, seven hundred sixty-one thousand, two hundred twenty-five".