1311528000 has 112 divisors (see below), whose sum is σ = 4330744704. Its totient is φ = 349734400.

The previous prime is 1311527969. The next prime is 1311528037. The reversal of 1311528000 is 8251131.

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 15 ways as a sum of consecutive naturals, for example, 3324 + ... + 51323.

Almost surely, 2^1311528000 is an apocalyptic number.

1311528000 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 1311528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165372352).

1311528000 is an abundant number, since it is smaller than the sum of its proper divisors (3019216704).

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

1311528000 is an equidigital number, since it uses as much as digits as its factorization.

1311528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54677 (or 54657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1311528000 is about 36215.0245064117. The cubic root of 1311528000 is about 1094.6094393287.

Adding to 1311528000 its reverse (8251131), we get a palindrome (1319779131).

The spelling of 1311528000 in words is "one billion, three hundred eleven million, five hundred twenty-eight thousand".