1330532000 has 384 divisors, whose sum is σ = 4094737920. Its totient is φ = 414720000.

The previous prime is 1330531973. The next prime is 1330532011. The reversal of 1330532000 is 2350331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21811970 + ... + 21812030.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^1330532000 is an apocalyptic number.

1330532000 is a gapful number since it is divisible by the number (10) 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 1330532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1330532000 is an abundant number, since it is smaller than the sum of its proper divisors (2764205920).

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

1330532000 is a wasteful number, since it uses less digits than its factorization.

1330532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 1330532000 is about 36476.4581613950. The cubic root of 1330532000 is about 1099.8710592665.

Adding to 1330532000 its reverse (2350331), we get a palindrome (1332882331).

It can be divided in two parts, 1330 and 532000, that multiplied together give a square (707560000 = 26600²).

The spelling of 1330532000 in words is "one billion, three hundred thirty million, five hundred thirty-two thousand".