1311552528 has 160 divisors (see below), whose sum is σ = 4019326080. Its totient is φ = 363294720.

The previous prime is 1311552527. The next prime is 1311552547. The reversal of 1311552528 is 8252551131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1311552523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747300 + ... + 749052.

It is an arithmetic number, because the mean of its divisors is an integer number (25120788).

Almost surely, 2^1311552528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311552528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009663040).

1311552528 is an abundant number, since it is smaller than the sum of its proper divisors (2707773552).

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

1311552528 is a wasteful number, since it uses less digits than its factorization.

1311552528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its digits is 12000, while the sum is 33.

The square root of 1311552528 is about 36215.3631488074. The cubic root of 1311552528 is about 1094.6162630267.

The spelling of 1311552528 in words is "one billion, three hundred eleven million, five hundred fifty-two thousand, five hundred twenty-eight".