1001032032 has 288 divisors, whose sum is σ = 3558594816. Its totient is φ = 239754240.

The previous prime is 1001032031. The next prime is 1001032037. The reversal of 1001032032 is 2302301001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001031999 and 1001032017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001032031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056583 + ... + 1057529.

It is an arithmetic number, because the mean of its divisors is an integer number (12356232).

Almost surely, 2^1001032032 is an apocalyptic number.

1001032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779297408).

1001032032 is an abundant number, since it is smaller than the sum of its proper divisors (2557562784).

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

1001032032 is a wasteful number, since it uses less digits than its factorization.

1001032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001032032 is about 31639.0902524077. The cubic root of 1001032032 is about 1000.3438923911.

Adding to 1001032032 its reverse (2302301001), we get a palindrome (3303333033).

The spelling of 1001032032 in words is "one billion, one million, thirty-two thousand, thirty-two".