1313786520 has 256 divisors, whose sum is σ = 4675968000. Its totient is φ = 326965248.

The previous prime is 1313786501. The next prime is 1313786533. The reversal of 1313786520 is 256873131.

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 63 ways as a sum of consecutive naturals, for example, 2992461 + ... + 2992899.

It is an arithmetic number, because the mean of its divisors is an integer number (18265500).

Almost surely, 2^1313786520 is an apocalyptic number.

1313786520 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 1313786520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337984000).

1313786520 is an abundant number, since it is smaller than the sum of its proper divisors (3362181480).

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

1313786520 is a wasteful number, since it uses less digits than its factorization.

1313786520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1313786520 is about 36246.1931794223. The cubic root of 1313786520 is about 1095.2374039579.

The spelling of 1313786520 in words is "one billion, three hundred thirteen million, seven hundred eighty-six thousand, five hundred twenty".