1325520000 has 480 divisors, whose sum is σ = 5467999680. Its totient is φ = 301824000.

The previous prime is 1325519999. The next prime is 1325520011. The reversal of 1325520000 is 255231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039869 + ... + 5040131.

It is an arithmetic number, because the mean of its divisors is an integer number (11391666).

Almost surely, 2^1325520000 is an apocalyptic number.

1325520000 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 1325520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733999840).

1325520000 is an abundant number, since it is smaller than the sum of its proper divisors (4142479680).

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

1325520000 is an equidigital number, since it uses as much as digits as its factorization.

1325520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1325520000 is about 36407.6914950674. The cubic root of 1325520000 is about 1098.4882815396.

Adding to 1325520000 its reverse (255231), we get a palindrome (1325775231).

The spelling of 1325520000 in words is "one billion, three hundred twenty-five million, five hundred twenty thousand".