1311682757 has 16 divisors (see below), whose sum is σ = 1688100864. Its totient is φ = 989118000.

The previous prime is 1311682739. The next prime is 1311682777. The reversal of 1311682757 is 7572861131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1311682757 - 2¹⁴ = 1311666373 is a prime.

It is a super-2 number, since 2×1311682757² = 3441023310022242098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311682717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272369 + ... + 277142.

It is an arithmetic number, because the mean of its divisors is an integer number (105506304).

Almost surely, 2^1311682757 is an apocalyptic number.

It is an amenable number.

1311682757 is a deficient number, since it is larger than the sum of its proper divisors (376418107).

1311682757 is a wasteful number, since it uses less digits than its factorization.

1311682757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549560.

The product of its digits is 70560, while the sum is 41.

The square root of 1311682757 is about 36217.1610842153. The cubic root of 1311682757 is about 1094.6524913542.

The spelling of 1311682757 in words is "one billion, three hundred eleven million, six hundred eighty-two thousand, seven hundred fifty-seven".