1353316320 has 288 divisors, whose sum is σ = 4988692800. Its totient is φ = 333053952.

The previous prime is 1353316319. The next prime is 1353316351. The reversal of 1353316320 is 236133531.

It is a happy number.

1353316320 is a `hidden beast` number, since 1 + 3 + 5 + 331 + 6 + 320 = 666.

1353316320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 959776 + ... + 961184.

It is an arithmetic number, because the mean of its divisors is an integer number (17321850).

Almost surely, 2^1353316320 is an apocalyptic number.

1353316320 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 1353316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494346400).

1353316320 is an abundant number, since it is smaller than the sum of its proper divisors (3635376480).

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

1353316320 is a wasteful number, since it uses less digits than its factorization.

1353316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1353316320 is about 36787.4478592903. The cubic root of 1353316320 is about 1106.1137041697.

Adding to 1353316320 its reverse (236133531), we get a palindrome (1589449851).

The spelling of 1353316320 in words is "one billion, three hundred fifty-three million, three hundred sixteen thousand, three hundred twenty".