1353532000 has 48 divisors (see below), whose sum is σ = 3325637952. Its totient is φ = 541411200.

The previous prime is 1353531983. The next prime is 1353532009. The reversal of 1353532000 is 2353531.

It is a happy number.

It is a super-3 number, since 3×1353532000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353532009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 165192 + ... + 173191.

It is an arithmetic number, because the mean of its divisors is an integer number (69284124).

Almost surely, 2^1353532000 is an apocalyptic number.

1353532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353532000 is an abundant number, since it is smaller than the sum of its proper divisors (1972105952).

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

1353532000 is an equidigital number, since it uses as much as digits as its factorization.

1353532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338408 (or 338390 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 1353532000 is about 36790.3791771708. The cubic root of 1353532000 is about 1106.1724620343.

Adding to 1353532000 its reverse (2353531), we get a palindrome (1355885531).

The spelling of 1353532000 in words is "one billion, three hundred fifty-three million, five hundred thirty-two thousand".