1305520000 has 80 divisors (see below), whose sum is σ = 3250209600. Its totient is φ = 522176000.

The previous prime is 1305519983. The next prime is 1305520003. The reversal of 1305520000 is 255031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305520003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 71841 + ... + 88159.

It is an arithmetic number, because the mean of its divisors is an integer number (40627620).

Almost surely, 2^1305520000 is an apocalyptic number.

1305520000 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 1305520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625104800).

1305520000 is an abundant number, since it is smaller than the sum of its proper divisors (1944689600).

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

1305520000 is an frugal number, since it uses more digits than its factorization.

1305520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16353 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1305520000 is about 36131.9802944704. The cubic root of 1305520000 is about 1092.9354424980.

Adding to 1305520000 its reverse (255031), we get a palindrome (1305775031).

The spelling of 1305520000 in words is "one billion, three hundred five million, five hundred twenty thousand".