1327253764225 has 81 divisors (see below), whose sum is σ = 1773082095561. Its totient is φ = 985430318400.

The previous prime is 1327253764211. The next prime is 1327253764231. The reversal of 1327253764225 is 5224673527231.

The square root of 1327253764225 is 1152065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 712334312001 + 614919452224 = 843999^2 + 784168^2 .

It is not a de Polignac number, because 1327253764225 - 2⁷ = 1327253764097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7332893635 + ... + 7332893815.

Almost surely, 2^{1327253764225} is an apocalyptic number.

1327253764225 is the 1152065-th square number.

1327253764225 is the 576033-rd centered octagonal number.

It is an amenable number.

1327253764225 is a deficient number, since it is larger than the sum of its proper divisors (445828331336).

1327253764225 is an frugal number, since it uses more digits than its factorization.

1327253764225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 49.

Multiplying 1327253764225 by its sum of digits (49), we get a square (65035434447025 = 8064455²).

The spelling of 1327253764225 in words is "one trillion, three hundred twenty-seven billion, two hundred fifty-three million, seven hundred sixty-four thousand, two hundred twenty-five".