1306727631 has 24 divisors (see below), whose sum is σ = 2114742864. Its totient is φ = 770549760.

The previous prime is 1306727629. The next prime is 1306727651. The reversal of 1306727631 is 1367276031.

1306727631 is a `hidden beast` number, since 13 + 0 + 6 + 7 + 2 + 7 + 631 = 666.

It is not a de Polignac number, because 1306727631 - 2¹ = 1306727629 is a prime.

It is a super-2 number, since 2×1306727631² = 3415074203237744322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306727621) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 174706 + ... + 182031.

It is an arithmetic number, because the mean of its divisors is an integer number (88114286).

Almost surely, 2^1306727631 is an apocalyptic number.

1306727631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306727631 is a deficient number, since it is larger than the sum of its proper divisors (808015233).

1306727631 is a wasteful number, since it uses less digits than its factorization.

1306727631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356791 (or 356788 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1306727631 is about 36148.6878185087. The cubic root of 1306727631 is about 1093.2723340468.

The spelling of 1306727631 in words is "one billion, three hundred six million, seven hundred twenty-seven thousand, six hundred thirty-one".