1333057152 has 256 divisors, whose sum is σ = 4284000000. Its totient is φ = 366686208.

The previous prime is 1333057097. The next prime is 1333057283. The reversal of 1333057152 is 2517503331.

It is a super-2 number, since 2×1333057152² = 3554082740996702208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819474 + ... + 3819822.

It is an arithmetic number, because the mean of its divisors is an integer number (16734375).

Almost surely, 2^1333057152 is an apocalyptic number.

1333057152 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 1333057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142000000).

1333057152 is an abundant number, since it is smaller than the sum of its proper divisors (2950942848).

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

1333057152 is an equidigital number, since it uses as much as digits as its factorization.

1333057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1333057152 is about 36511.0552025000. The cubic root of 1333057152 is about 1100.5664168280.

The spelling of 1333057152 in words is "one billion, three hundred thirty-three million, fifty-seven thousand, one hundred fifty-two".