1311585145 has 16 divisors (see below), whose sum is σ = 1698922512. Its totient is φ = 966297600.

The previous prime is 1311585137. The next prime is 1311585161. The reversal of 1311585145 is 5415851131.

It can be written as a sum of positive squares in 8 ways, for example, as 561263481 + 750321664 = 23691^2 + 27392^2 .

It is not a de Polignac number, because 1311585145 - 2³ = 1311585137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311585145.

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 15 ways as a sum of consecutive naturals, for example, 4845 + ... + 51445.

It is an arithmetic number, because the mean of its divisors is an integer number (106182657).

Almost surely, 2^1311585145 is an apocalyptic number.

It is an amenable number.

1311585145 is a deficient number, since it is larger than the sum of its proper divisors (387337367).

1311585145 is a wasteful number, since it uses less digits than its factorization.

1311585145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47052.

The product of its digits is 12000, while the sum is 34.

The square root of 1311585145 is about 36215.8134659433. The cubic root of 1311585145 is about 1094.6253369555.

The spelling of 1311585145 in words is "one billion, three hundred eleven million, five hundred eighty-five thousand, one hundred forty-five".