331205152 has 96 divisors (see below), whose sum is σ = 730259712. Its totient is φ = 147062784.

The previous prime is 331205117. The next prime is 331205183. The reversal of 331205152 is 251502133.

It is a super-2 number, since 2×331205152² = 219393705422686208, which contains 22 as substring.

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, 1288608 + ... + 1288864.

It is an arithmetic number, because the mean of its divisors is an integer number (7606872).

Almost surely, 2^331205152 is an apocalyptic number.

331205152 is a gapful number since it is divisible by the number (32) 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 331205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365129856).

331205152 is an abundant number, since it is smaller than the sum of its proper divisors (399054560).

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

331205152 is a wasteful number, since it uses less digits than its factorization.

331205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 331205152 is about 18199.0426121816. The cubic root of 331205152 is about 691.8825243018.

Adding to 331205152 its reverse (251502133), we get a palindrome (582707285).

The spelling of 331205152 in words is "three hundred thirty-one million, two hundred five thousand, one hundred fifty-two".