1291193598249 has 81 divisors (see below), whose sum is σ = 1990843160943. Its totient is φ = 806359809024.

The previous prime is 1291193598229. The next prime is 1291193598263. The reversal of 1291193598249 is 9428953911921.

The square root of 1291193598249 is 1136307.

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

1291193598249 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 19 + 3 + 598 + 24 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 195989487849 + 1095204110400 = 442707^2 + 1046520^2 .

It is not a de Polignac number, because 1291193598249 - 2¹¹ = 1291193596201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1291193598229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3657772057 + ... + 3657772409.

Almost surely, 2^{1291193598249} is an apocalyptic number.

1291193598249 is the 1136307-th square number.

1291193598249 is the 568154-th centered octagonal number.

It is an amenable number.

1291193598249 is a deficient number, since it is larger than the sum of its proper divisors (699649562694).

1291193598249 is an frugal number, since it uses more digits than its factorization.

1291193598249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The spelling of 1291193598249 in words is "one trillion, two hundred ninety-one billion, one hundred ninety-three million, five hundred ninety-eight thousand, two hundred forty-nine".