1316513640 has 128 divisors (see below), whose sum is σ = 4333875840. Its totient is φ = 317930496.

The previous prime is 1316513633. The next prime is 1316513641. The reversal of 1316513640 is 463156131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1316513598 and 1316513607.

It is not an unprimeable number, because it can be changed into a prime (1316513641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74719 + ... + 90641.

It is an arithmetic number, because the mean of its divisors is an integer number (33858405).

Almost surely, 2^1316513640 is an apocalyptic number.

1316513640 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 1316513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166937920).

1316513640 is an abundant number, since it is smaller than the sum of its proper divisors (3017362200).

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

1316513640 is a wasteful number, since it uses less digits than its factorization.

1316513640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003 (or 15999 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1316513640 is about 36283.7930762482. The cubic root of 1316513640 is about 1095.9947008997.

Adding to 1316513640 its reverse (463156131), we get a palindrome (1779669771).

The spelling of 1316513640 in words is "one billion, three hundred sixteen million, five hundred thirteen thousand, six hundred forty".