1352883552 has 48 divisors (see below), whose sum is σ = 3705730560. Its totient is φ = 431353472.

The previous prime is 1352883551. The next prime is 1352883563. The reversal of 1352883552 is 2553882531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352883551) 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 7 ways as a sum of consecutive naturals, for example, 304152 + ... + 308567.

It is an arithmetic number, because the mean of its divisors is an integer number (77202720).

Almost surely, 2^1352883552 is an apocalyptic number.

1352883552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1352883552 is an abundant number, since it is smaller than the sum of its proper divisors (2352847008).

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

1352883552 is a wasteful number, since it uses less digits than its factorization.

1352883552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612755 (or 612747 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 1352883552 is about 36781.5653826751. The cubic root of 1352883552 is about 1105.9957860247.

The spelling of 1352883552 in words is "one billion, three hundred fifty-two million, eight hundred eighty-three thousand, five hundred fifty-two".