1117131264 has 280 divisors, whose sum is σ = 3475176012. Its totient is φ = 358318080.

The previous prime is 1117131259. The next prime is 1117131287. The reversal of 1117131264 is 4621317111.

It can be written as a sum of positive squares in 2 ways, for example, as 1049760000 + 67371264 = 32400^2 + 8208^2 .

It is a super-2 number, since 2×1117131264² = 2495964522012475392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15303132 + ... + 15303204.

Almost surely, 2^1117131264 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 1117131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737588006).

1117131264 is an abundant number, since it is smaller than the sum of its proper divisors (2358044748).

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

1117131264 is an frugal number, since it uses more digits than its factorization.

1117131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1117131264 is about 33423.5136393528. The cubic root of 1117131264 is about 1037.6114018666.

Adding to 1117131264 its reverse (4621317111), we get a palindrome (5738448375).

The spelling of 1117131264 in words is "one billion, one hundred seventeen million, one hundred thirty-one thousand, two hundred sixty-four".