1313564688 has 200 divisors, whose sum is σ = 3946532128. Its totient is φ = 423263232.

The previous prime is 1313564671. The next prime is 1313564711. The reversal of 1313564688 is 8864653131.

1313564688 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 564 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13541856 + ... + 13541952.

Almost surely, 2^1313564688 is an apocalyptic number.

1313564688 is a gapful number since it is divisible by the number (18) 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 1313564688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973266064).

1313564688 is an abundant number, since it is smaller than the sum of its proper divisors (2632967440).

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

1313564688 is an frugal number, since it uses more digits than its factorization.

1313564688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1313564688 is about 36243.1329771586. The cubic root of 1313564688 is about 1095.1757571135.

The spelling of 1313564688 in words is "one billion, three hundred thirteen million, five hundred sixty-four thousand, six hundred eighty-eight".