1313646516 has 144 divisors (see below), whose sum is σ = 4119443328. Its totient is φ = 343699200.

The previous prime is 1313646493. The next prime is 1313646539. The reversal of 1313646516 is 6156463131.

1313646516 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 646 + 5 + 1 + 6 = 666.

1313646516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1313646493) and next prime (1313646539).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427626 + ... + 430686.

Almost surely, 2^1313646516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313646516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059721664).

1313646516 is an abundant number, since it is smaller than the sum of its proper divisors (2805796812).

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

1313646516 is a wasteful number, since it uses less digits than its factorization.

1313646516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3217 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1313646516 is about 36244.2618354961. The cubic root of 1313646516 is about 1095.1984978235.

The spelling of 1313646516 in words is "one billion, three hundred thirteen million, six hundred forty-six thousand, five hundred sixteen".