1311535152 has 160 divisors (see below), whose sum is σ = 3917933760. Its totient is φ = 424942848.

The previous prime is 1311535151. The next prime is 1311535163. The reversal of 1311535152 is 2515351131.

1311535152 is a `hidden beast` number, since 131 + 15 + 3 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1311535151) 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, 1294198 + ... + 1295210.

It is an arithmetic number, because the mean of its divisors is an integer number (24487086).

Almost surely, 2^1311535152 is an apocalyptic number.

1311535152 is a gapful number since it is divisible by the number (12) 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 1311535152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958966880).

1311535152 is an abundant number, since it is smaller than the sum of its proper divisors (2606398608).

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

1311535152 is an equidigital number, since it uses as much as digits as its factorization.

1311535152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1055 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 1311535152 is about 36215.1232498248. The cubic root of 1311535152 is about 1094.6114290264.

Adding to 1311535152 its reverse (2515351131), we get a palindrome (3826886283).

The spelling of 1311535152 in words is "one billion, three hundred eleven million, five hundred thirty-five thousand, one hundred fifty-two".