1311129504 has 240 divisors, whose sum is σ = 4122518400. Its totient is φ = 407586816.

The previous prime is 1311129497. The next prime is 1311129509. The reversal of 1311129504 is 4059211131.

It is a happy number.

1311129504 is a `hidden beast` number, since 1 + 31 + 1 + 129 + 504 = 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 (1311129509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3890424 + ... + 3890760.

It is an arithmetic number, because the mean of its divisors is an integer number (17177160).

Almost surely, 2^1311129504 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 1311129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061259200).

1311129504 is an abundant number, since it is smaller than the sum of its proper divisors (2811388896).

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

1311129504 is a wasteful number, since it uses less digits than its factorization.

1311129504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1311129504 is about 36209.5222835099. The cubic root of 1311129504 is about 1094.4985656839.

The spelling of 1311129504 in words is "one billion, three hundred eleven million, one hundred twenty-nine thousand, five hundred four".