1262636516241 has 9 divisors (see below), whose sum is σ = 1823813170491. Its totient is φ = 841755430152.

The previous prime is 1262636516203. The next prime is 1262636516249. The reversal of 1262636516241 is 1426156362621.

The square root of 1262636516241 is 1123671.

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

1262636516241 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 636 + 5 + 1 + 6 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 344880180225 + 917756336016 = 587265^2 + 957996^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1262636516241 - 2⁹ = 1262636515729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1262636516249) 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 8 ways as a sum of consecutive naturals, for example, 3183735 + ... + 3558291.

Almost surely, 2^{1262636516241} is an apocalyptic number.

1262636516241 is the 1123671-st square number.

1262636516241 is the 561836-th centered octagonal number.

It is an amenable number.

1262636516241 is a deficient number, since it is larger than the sum of its proper divisors (561176654250).

1262636516241 is an frugal number, since it uses more digits than its factorization.

1262636516241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749120 (or 374560 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1262636516241 in words is "one trillion, two hundred sixty-two billion, six hundred thirty-six million, five hundred sixteen thousand, two hundred forty-one".