541531312 has 80 divisors (see below), whose sum is σ = 1303091200. Its totient is φ = 212751360.

The previous prime is 541531279. The next prime is 541531313. The reversal of 541531312 is 213135145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541531313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61864 + ... + 70072.

It is an arithmetic number, because the mean of its divisors is an integer number (16288640).

Almost surely, 2^541531312 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 541531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651545600).

541531312 is an abundant number, since it is smaller than the sum of its proper divisors (761559888).

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

541531312 is a wasteful number, since it uses less digits than its factorization.

541531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8268 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 541531312 is about 23270.8253398972. The cubic root of 541531312 is about 815.0943030126.

Adding to 541531312 its reverse (213135145), we get a palindrome (754666457).

The spelling of 541531312 in words is "five hundred forty-one million, five hundred thirty-one thousand, three hundred twelve".