1266333849225 has 135 divisors (see below), whose sum is σ = 2493481342341. Its totient is φ = 635217811200.

The previous prime is 1266333849199. The next prime is 1266333849241. The reversal of 1266333849225 is 5229483336621.

The square root of 1266333849225 is 1125315.

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

1266333849225 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 33 + 384 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29620819449 + 1236713029776 = 172107^2 + 1112076^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1266333849225 - 2¹⁵ = 1266333816457 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 860865240 + ... + 860866710.

Almost surely, 2^{1266333849225} is an apocalyptic number.

1266333849225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1266333849225 is the 1125315-th square number.

1266333849225 is the 562658-th centered octagonal number.

It is an amenable number.

1266333849225 is a deficient number, since it is larger than the sum of its proper divisors (1227147493116).

1266333849225 is an frugal number, since it uses more digits than its factorization.

1266333849225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 1496 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 1266333849225 in words is "one trillion, two hundred sixty-six billion, three hundred thirty-three million, eight hundred forty-nine thousand, two hundred twenty-five".