1313265408 has 576 divisors, whose sum is σ = 4834959360. Its totient is φ = 306561024.

The previous prime is 1313265407. The next prime is 1313265413. The reversal of 1313265408 is 8045623131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313265403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30541035 + ... + 30541077.

Almost surely, 2^1313265408 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 1313265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417479680).

1313265408 is an abundant number, since it is smaller than the sum of its proper divisors (3521693952).

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

1313265408 is a wasteful number, since it uses less digits than its factorization.

1313265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1313265408 is about 36239.0039598221. The cubic root of 1313265408 is about 1095.0925765644.

Adding to 1313265408 its reverse (8045623131), we get a palindrome (9358888539).

The spelling of 1313265408 in words is "one billion, three hundred thirteen million, two hundred sixty-five thousand, four hundred eight".