1353256000 has 224 divisors, whose sum is σ = 3661257600. Its totient is φ = 493516800.

The previous prime is 1353255983. The next prime is 1353256013. The reversal of 1353256000 is 6523531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4407847 + ... + 4408153.

It is an arithmetic number, because the mean of its divisors is an integer number (16344900).

Almost surely, 2^1353256000 is an apocalyptic number.

1353256000 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 1353256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830628800).

1353256000 is an abundant number, since it is smaller than the sum of its proper divisors (2308001600).

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

1353256000 is a wasteful number, since it uses less digits than its factorization.

1353256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1353256000 is about 36786.6280052956. The cubic root of 1353256000 is about 1106.0972700296.

Adding to 1353256000 its reverse (6523531), we get a palindrome (1359779531).

The spelling of 1353256000 in words is "one billion, three hundred fifty-three million, two hundred fifty-six thousand".