1311535125 has 64 divisors (see below), whose sum is σ = 2567635200. Its totient is φ = 658310400.

The previous prime is 1311535109. The next prime is 1311535129. The reversal of 1311535125 is 5215351131.

1311535125 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 535 + 125 = 666.

It is not a de Polignac number, because 1311535125 - 2⁴ = 1311535109 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311535129) 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 63 ways as a sum of consecutive naturals, for example, 45946 + ... + 68804.

It is an arithmetic number, because the mean of its divisors is an integer number (40119300).

Almost surely, 2^1311535125 is an apocalyptic number.

1311535125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311535125 is a deficient number, since it is larger than the sum of its proper divisors (1256100075).

1311535125 is a wasteful number, since it uses less digits than its factorization.

1311535125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22900 (or 22884 counting only the distinct ones).

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

The square root of 1311535125 is about 36215.1228770523. The cubic root of 1311535125 is about 1094.6114215149.

Adding to 1311535125 its reverse (5215351131), we get a palindrome (6526886256).

The spelling of 1311535125 in words is "one billion, three hundred eleven million, five hundred thirty-five thousand, one hundred twenty-five".