1353000000 has 392 divisors, whose sum is σ = 5000560992. Its totient is φ = 320000000.

The previous prime is 1352999993. The next prime is 1353000037. The reversal of 1353000000 is 3531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1353000000.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32999980 + ... + 33000020.

Almost surely, 2^1353000000 is an apocalyptic number.

1353000000 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 1353000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500280496).

1353000000 is an abundant number, since it is smaller than the sum of its proper divisors (3647560992).

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

1353000000 is an frugal number, since it uses more digits than its factorization.

1353000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 1353000000 is about 36783.1483154990. The cubic root of 1353000000 is about 1106.0275175811.

Adding to 1353000000 its reverse (3531), we get a palindrome (1353003531).

The spelling of 1353000000 in words is "one billion, three hundred fifty-three million", and thus it is an aban number.