329113953 has 72 divisors (see below), whose sum is σ = 594360000. Its totient is φ = 171678528.

The previous prime is 329113951. The next prime is 329113957. The reversal of 329113953 is 359311923.

It is not a de Polignac number, because 329113953 - 2¹ = 329113951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (329113951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659298 + ... + 659796.

It is an arithmetic number, because the mean of its divisors is an integer number (8255000).

Almost surely, 2^329113953 is an apocalyptic number.

It is an amenable number.

329113953 is a deficient number, since it is larger than the sum of its proper divisors (265246047).

329113953 is a wasteful number, since it uses less digits than its factorization.

329113953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 329113953 is about 18141.4980913926. The cubic root of 329113953 is about 690.4232878505.

It can be divided in two parts, 32911 and 3953, that added together give a square (36864 = 192²).

The spelling of 329113953 in words is "three hundred twenty-nine million, one hundred thirteen thousand, nine hundred fifty-three".