1333249752 has 128 divisors (see below), whose sum is σ = 3631703040. Its totient is φ = 406272000.

The previous prime is 1333249721. The next prime is 1333249783. The reversal of 1333249752 is 2579423331.

It is an interprime number because it is at equal distance from previous prime (1333249721) and next prime (1333249783).

It is a self number, because there is not a number n which added to its sum of digits gives 1333249752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4813038 + ... + 4813314.

It is an arithmetic number, because the mean of its divisors is an integer number (28372680).

Almost surely, 2^1333249752 is an apocalyptic number.

1333249752 is a gapful number since it is divisible by the number (12) 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 1333249752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815851520).

1333249752 is an abundant number, since it is smaller than the sum of its proper divisors (2298453288).

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

1333249752 is a wasteful number, since it uses less digits than its factorization.

1333249752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 1333249752 is about 36513.6926645334. The cubic root of 1333249752 is about 1100.6194175275.

The spelling of 1333249752 in words is "one billion, three hundred thirty-three million, two hundred forty-nine thousand, seven hundred fifty-two".