1312535040 has 320 divisors, whose sum is σ = 4478284800. Its totient is φ = 327352320.

The previous prime is 1312535027. The next prime is 1312535083. The reversal of 1312535040 is 405352131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1312535040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8808886 + ... + 8809034.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^1312535040 is an apocalyptic number.

1312535040 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 1312535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239142400).

1312535040 is an abundant number, since it is smaller than the sum of its proper divisors (3165749760).

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

1312535040 is a wasteful number, since it uses less digits than its factorization.

1312535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1312535040 is about 36228.9254601900. The cubic root of 1312535040 is about 1094.8895282726.

Adding to 1312535040 its reverse (405352131), we get a palindrome (1717887171).

The spelling of 1312535040 in words is "one billion, three hundred twelve million, five hundred thirty-five thousand, forty".