1264916349225 has 81 divisors (see below), whose sum is σ = 2353472364997. Its totient is φ = 674379120960.

The previous prime is 1264916349187. The next prime is 1264916349227. The reversal of 1264916349225 is 5229436194621.

The square root of 1264916349225 is 1124685.

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

1264916349225 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 91 + 63 + 492 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314455142169 + 950461207056 = 560763^2 + 974916^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1264916349225 - 2⁷ = 1264916349097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1264916349227) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 455496037 + ... + 455498813.

Almost surely, 2^{1264916349225} is an apocalyptic number.

1264916349225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1264916349225 is the 1124685-th square number.

1264916349225 is the 562343-rd centered octagonal number.

It is an amenable number.

1264916349225 is a deficient number, since it is larger than the sum of its proper divisors (1088556015772).

1264916349225 is an frugal number, since it uses more digits than its factorization.

1264916349225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 2785 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1264916349225 in words is "one trillion, two hundred sixty-four billion, nine hundred sixteen million, three hundred forty-nine thousand, two hundred twenty-five".