1005613232 has 80 divisors (see below), whose sum is σ = 2208212832. Its totient is φ = 440432640.

The previous prime is 1005613201. The next prime is 1005613283. The reversal of 1005613232 is 2323165001.

1005613232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005613232² = 2022515944746971648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005613198 and 1005613207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313943 + ... + 317129.

Almost surely, 2^1005613232 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 1005613232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104106416).

1005613232 is an abundant number, since it is smaller than the sum of its proper divisors (1202599600).

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

1005613232 is a wasteful number, since it uses less digits than its factorization.

1005613232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1005613232 is about 31711.4053930128. The cubic root of 1005613232 is about 1001.8675872798.

Adding to 1005613232 its reverse (2323165001), we get a palindrome (3328778233).

The spelling of 1005613232 in words is "one billion, five million, six hundred thirteen thousand, two hundred thirty-two".