1352522304 has 252 divisors, whose sum is σ = 4552143804. Its totient is φ = 382814208.

The previous prime is 1352522299. The next prime is 1352522321. The reversal of 1352522304 is 4032252531.

It is a happy number.

1352522304 is a `hidden beast` number, since 1 + 352 + 5 + 2 + 2 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 759112704 + 593409600 = 27552^2 + 24360^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 4882614 + ... + 4882890.

Almost surely, 2^1352522304 is an apocalyptic number.

1352522304 is a gapful number since it is divisible by the number (14) 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 1352522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276071902).

1352522304 is an abundant number, since it is smaller than the sum of its proper divisors (3199621500).

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

1352522304 is a wasteful number, since it uses less digits than its factorization.

1352522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1352522304 is about 36776.6543339657. The cubic root of 1352522304 is about 1105.8973359814.

Adding to 1352522304 its reverse (4032252531), we get a palindrome (5384774835).

The spelling of 1352522304 in words is "one billion, three hundred fifty-two million, five hundred twenty-two thousand, three hundred four".