329510052 has 96 divisors (see below), whose sum is σ = 900345600. Its totient is φ = 104011776.

The previous prime is 329510047. The next prime is 329510053. The reversal of 329510052 is 250015923.

329510052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 329509998 and 329510025.

It is not an unprimeable number, because it can be changed into a prime (329510053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270148 + ... + 271364.

It is an arithmetic number, because the mean of its divisors is an integer number (9378600).

Almost surely, 2^329510052 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 329510052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450172800).

329510052 is an abundant number, since it is smaller than the sum of its proper divisors (570835548).

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

329510052 is a wasteful number, since it uses less digits than its factorization.

329510052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 329510052 is about 18152.4117405925. The cubic root of 329510052 is about 690.7001588576.

Adding to 329510052 its reverse (250015923), we get a palindrome (579525975).

The spelling of 329510052 in words is "three hundred twenty-nine million, five hundred ten thousand, fifty-two".