1306831688 has 12 divisors (see below), whose sum is σ = 2450501145. Its totient is φ = 653364720.

The previous prime is 1306831681. The next prime is 1306831697. The reversal of 1306831688 is 8861386031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1227941764 + 78889924 = 35042^2 + 8882^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25562.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306831681) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 95858 + ... + 108638.

Almost surely, 2^1306831688 is an apocalyptic number.

It is an amenable number.

1306831688 is a deficient number, since it is larger than the sum of its proper divisors (1143669457).

1306831688 is an frugal number, since it uses more digits than its factorization.

1306831688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25568 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 1306831688 is about 36150.1270813811. The cubic root of 1306831688 is about 1093.3013530040.

Multiplying 1306831688 by its product of nonzero digits (165888), we get a square (216787695058944 = 14723712²).

The spelling of 1306831688 in words is "one billion, three hundred six million, eight hundred thirty-one thousand, six hundred eighty-eight".