1353225330 has 192 divisors, whose sum is σ = 3896875008. Its totient is φ = 324311040.

The previous prime is 1353225311. The next prime is 1353225397. The reversal of 1353225330 is 335223531.

1353225330 is a `hidden beast` number, since 1 + 3 + 5 + 322 + 5 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1353225294 and 1353225303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4885152 + ... + 4885428.

It is an arithmetic number, because the mean of its divisors is an integer number (20296224).

Almost surely, 2^1353225330 is an apocalyptic number.

1353225330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353225330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948437504).

1353225330 is an abundant number, since it is smaller than the sum of its proper divisors (2543649678).

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

1353225330 is a wasteful number, since it uses less digits than its factorization.

1353225330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1353225330 is about 36786.2111395017. The cubic root of 1353225330 is about 1106.0889138232.

Adding to 1353225330 its reverse (335223531), we get a palindrome (1688448861).

The spelling of 1353225330 in words is "one billion, three hundred fifty-three million, two hundred twenty-five thousand, three hundred thirty".