1327713005 has 16 divisors (see below), whose sum is σ = 1691226864. Its totient is φ = 997171200.

The previous prime is 1327712999. The next prime is 1327713041. The reversal of 1327713005 is 5003177231.

It can be written as a sum of positive squares in 8 ways, for example, as 618715876 + 708997129 = 24874^2 + 26627^2 .

It is not a de Polignac number, because 1327713005 - 2⁶ = 1327712941 is a prime.

It is a super-2 number, since 2×1327713005² = 3525643647292260050, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14609 + ... + 53561.

It is an arithmetic number, because the mean of its divisors is an integer number (105701679).

Almost surely, 2^1327713005 is an apocalyptic number.

It is an amenable number.

1327713005 is a deficient number, since it is larger than the sum of its proper divisors (363513859).

1327713005 is a wasteful number, since it uses less digits than its factorization.

1327713005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39376.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 1327713005 is about 36437.7963795837. The cubic root of 1327713005 is about 1099.0937453064.

The spelling of 1327713005 in words is "one billion, three hundred twenty-seven million, seven hundred thirteen thousand, five".