1330587552 has 192 divisors, whose sum is σ = 4314643200. Its totient is φ = 357654528.

The previous prime is 1330587521. The next prime is 1330587563. The reversal of 1330587552 is 2557850331.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1330587552.

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, 558588 + ... + 560964.

It is an arithmetic number, because the mean of its divisors is an integer number (22472100).

Almost surely, 2^1330587552 is an apocalyptic number.

1330587552 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 1330587552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157321600).

1330587552 is an abundant number, since it is smaller than the sum of its proper divisors (2984055648).

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

1330587552 is a wasteful number, since it uses less digits than its factorization.

1330587552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 1330587552 is about 36477.2196308874. The cubic root of 1330587552 is about 1099.8863662231.

The spelling of 1330587552 in words is "one billion, three hundred thirty million, five hundred eighty-seven thousand, five hundred fifty-two".