1005329952 has 216 divisors, whose sum is σ = 3329244828. Its totient is φ = 286556160.

The previous prime is 1005329903. The next prime is 1005329971. The reversal of 1005329952 is 2599235001.

It is a happy number.

1005329952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 820478736 + 184851216 = 28644^2 + 13596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 591568 + ... + 593264.

Almost surely, 2^1005329952 is an apocalyptic number.

1005329952 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 1005329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664622414).

1005329952 is an abundant number, since it is smaller than the sum of its proper divisors (2323914876).

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

1005329952 is a wasteful number, since it uses less digits than its factorization.

1005329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1005329952 is about 31706.9385466336. The cubic root of 1005329952 is about 1001.7735034926.

The spelling of 1005329952 in words is "one billion, five million, three hundred twenty-nine thousand, nine hundred fifty-two".