1311517680 has 160 divisors (see below), whose sum is σ = 4498426368. Its totient is φ = 313420800.

The previous prime is 1311517639. The next prime is 1311517699. The reversal of 1311517680 is 867151131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183942 + ... + 190938.

Almost surely, 2^1311517680 is an apocalyptic number.

1311517680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249213184).

1311517680 is an abundant number, since it is smaller than the sum of its proper divisors (3186908688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311517680 is a wasteful number, since it uses less digits than its factorization.

1311517680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1311517680 is about 36214.8820238310. The cubic root of 1311517680 is about 1094.6065682758.

It can be divided in two parts, 131151 and 7680, that added together give a palindrome (138831).

The spelling of 1311517680 in words is "one billion, three hundred eleven million, five hundred seventeen thousand, six hundred eighty".