1353522500 has 120 divisors (see below), whose sum is σ = 3273377184. Its totient is φ = 485440000.

The previous prime is 1353522461. The next prime is 1353522503. The reversal of 1353522500 is 52253531.

1353522500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1353522500.

It is not an unprimeable number, because it can be changed into a prime (1353522503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2282204 + ... + 2282796.

Almost surely, 2^1353522500 is an apocalyptic number.

1353522500 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 1353522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636688592).

1353522500 is an abundant number, since it is smaller than the sum of its proper divisors (1919854684).

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

1353522500 is a wasteful number, since it uses less digits than its factorization.

1353522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1353522500 is about 36790.2500671034. The cubic root of 1353522500 is about 1106.1698740736.

The spelling of 1353522500 in words is "one billion, three hundred fifty-three million, five hundred twenty-two thousand, five hundred".