1311616042405 has 8 divisors (see below), whose sum is σ = 1577353438584. Its totient is φ = 1047016708800.

The previous prime is 1311616042393. The next prime is 1311616042417. The reversal of 1311616042405 is 5042406161131.

It is an interprime number because it is at equal distance from previous prime (1311616042393) and next prime (1311616042417).

It can be written as a sum of positive squares in 4 ways, for example, as 177269629156 + 1134346413249 = 421034^2 + 1065057^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1311616042405 - 2¹³ = 1311616034213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 284513106 + ... + 284517715.

It is an arithmetic number, because the mean of its divisors is an integer number (197169179823).

Almost surely, 2^{1311616042405} is an apocalyptic number.

It is an amenable number.

1311616042405 is a deficient number, since it is larger than the sum of its proper divisors (265737396179).

1311616042405 is an equidigital number, since it uses as much as digits as its factorization.

1311616042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569031287.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1311616042405 in words is "one trillion, three hundred eleven billion, six hundred sixteen million, forty-two thousand, four hundred five".