1353304256 has 112 divisors (see below), whose sum is σ = 2939735040. Its totient is φ = 616412160.

The previous prime is 1353304243. The next prime is 1353304283. The reversal of 1353304256 is 6524033531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473775 + ... + 2474321.

Almost surely, 2^1353304256 is an apocalyptic number.

1353304256 is a gapful number since it is divisible by the number (16) 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 1353304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469867520).

1353304256 is an abundant number, since it is smaller than the sum of its proper divisors (1586430784).

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

1353304256 is a wasteful number, since it uses less digits than its factorization.

1353304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 1353304256 is about 36787.2838899531. The cubic root of 1353304256 is about 1106.1104173808.

Adding to 1353304256 its reverse (6524033531), we get a palindrome (7877337787).

The spelling of 1353304256 in words is "one billion, three hundred fifty-three million, three hundred four thousand, two hundred fifty-six".