1135631016 has 160 divisors (see below), whose sum is σ = 3458707560. Its totient is φ = 346042368.

The previous prime is 1135630999. The next prime is 1135631017. The reversal of 1135631016 is 6101365311.

1135631016 is a `hidden beast` number, since 1 + 13 + 5 + 631 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 430728516 + 704902500 = 20754^2 + 26550^2 .

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 (1135631017) 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 39 ways as a sum of consecutive naturals, for example, 951316 + ... + 952508.

Almost surely, 2^1135631016 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 1135631016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729353780).

1135631016 is an abundant number, since it is smaller than the sum of its proper divisors (2323076544).

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

1135631016 is a wasteful number, since it uses less digits than its factorization.

1135631016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1135631016 is about 33699.1248551057. The cubic root of 1135631016 is about 1043.3077059126.

Adding to 1135631016 its reverse (6101365311), we get a palindrome (7236996327).

It can be divided in two parts, 113 and 5631016, that added together give a square (5631129 = 2373²).

The spelling of 1135631016 in words is "one billion, one hundred thirty-five million, six hundred thirty-one thousand, sixteen".