1353382528 has 32 divisors (see below), whose sum is σ = 2703084660. Its totient is φ = 674961408.

The previous prime is 1353382501. The next prime is 1353382549. The reversal of 1353382528 is 8252833531.

It can be written as a sum of positive squares in 2 ways, for example, as 1117698624 + 235683904 = 33432^2 + 15352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 37500 + ... + 64132.

Almost surely, 2^1353382528 is an apocalyptic number.

It is an amenable number.

1353382528 is a deficient number, since it is larger than the sum of its proper divisors (1349702132).

1353382528 is an equidigital number, since it uses as much as digits as its factorization.

1353382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27044 (or 27032 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 1353382528 is about 36788.3477204400. The cubic root of 1353382528 is about 1106.1317419290.

The spelling of 1353382528 in words is "one billion, three hundred fifty-three million, three hundred eighty-two thousand, five hundred twenty-eight".