1312085484369 has 81 divisors (see below), whose sum is σ = 2109873959739. Its totient is φ = 785146158720.

The previous prime is 1312085484361. The next prime is 1312085484397. The reversal of 1312085484369 is 9634845802131.

It is a happy number.

The square root of 1312085484369 is 1145463.

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

1312085484369 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 85 + 484 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 353816780625 + 958268703744 = 594825^2 + 978912^2 .

It is not a de Polignac number, because 1312085484369 - 2³ = 1312085484361 is a prime.

It is a super-2 number, since 2×1312085484369² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312085484361) 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, 3893428569 + ... + 3893428905.

Almost surely, 2^{1312085484369} is an apocalyptic number.

1312085484369 is the 1145463-rd square number.

1312085484369 is the 572732-nd centered octagonal number.

It is an amenable number.

1312085484369 is a deficient number, since it is larger than the sum of its proper divisors (797788475370).

1312085484369 is an equidigital number, since it uses as much as digits as its factorization.

1312085484369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1312085484369 in words is "one trillion, three hundred twelve billion, eighty-five million, four hundred eighty-four thousand, three hundred sixty-nine".