541413312 has 112 divisors (see below), whose sum is σ = 1569110400. Its totient is φ = 163394560.

The previous prime is 541413293. The next prime is 541413329. The reversal of 541413312 is 213314145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 821239 + ... + 821897.

Almost surely, 2^541413312 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 541413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784555200).

541413312 is an abundant number, since it is smaller than the sum of its proper divisors (1027697088).

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

541413312 is a wasteful number, since it uses less digits than its factorization.

541413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1064 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 541413312 is about 23268.2898383186. The cubic root of 541413312 is about 815.0350955316.

Adding to 541413312 its reverse (213314145), we get a palindrome (754727457).

It can be divided in two parts, 5414133 and 12, that added together give a palindrome (5414145).

The spelling of 541413312 in words is "five hundred forty-one million, four hundred thirteen thousand, three hundred twelve".