1327069440225 has 81 divisors (see below), whose sum is σ = 2418454585209. Its totient is φ = 695614622400.

The previous prime is 1327069440197. The next prime is 1327069440371. The reversal of 1327069440225 is 5220449607231.

The square root of 1327069440225 is 1151985.

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

1327069440225 is a `hidden beast` number, since 1 + 327 + 0 + 69 + 4 + 40 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 611272221921 + 715797218304 = 781839^2 + 846048^2 .

It is not a de Polignac number, because 1327069440225 - 2²⁷ = 1326935222497 is a prime.

It is a super-2 number, since 2×1327069440225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1054065646 + ... + 1054066904.

Almost surely, 2^{1327069440225} is an apocalyptic number.

1327069440225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1327069440225 is the 1151985-th square number.

1327069440225 is the 575993-rd centered octagonal number.

It is an amenable number.

1327069440225 is a deficient number, since it is larger than the sum of its proper divisors (1091385144984).

1327069440225 is an frugal number, since it uses more digits than its factorization.

1327069440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1327069440225 in words is "one trillion, three hundred twenty-seven billion, sixty-nine million, four hundred forty thousand, two hundred twenty-five".