1133505504 has 144 divisors (see below), whose sum is σ = 3383662464. Its totient is φ = 359251200.

The previous prime is 1133505491. The next prime is 1133505517. The reversal of 1133505504 is 4055053311.

It is an interprime number because it is at equal distance from previous prime (1133505491) and next prime (1133505517).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397259 + ... + 1398069.

It is an arithmetic number, because the mean of its divisors is an integer number (23497656).

Almost surely, 2^1133505504 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 1133505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691831232).

1133505504 is an abundant number, since it is smaller than the sum of its proper divisors (2250156960).

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

1133505504 is a wasteful number, since it uses less digits than its factorization.

1133505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1133505504 is about 33667.5734795367. The cubic root of 1133505504 is about 1042.6563945965.

Adding to 1133505504 its reverse (4055053311), we get a palindrome (5188558815).

The spelling of 1133505504 in words is "one billion, one hundred thirty-three million, five hundred five thousand, five hundred four".