541125312 has 112 divisors (see below), whose sum is σ = 1762182912. Its totient is φ = 142709760.

The previous prime is 541125289. The next prime is 541125331. The reversal of 541125312 is 213521145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 1987 + ... + 32957.

It is an arithmetic number, because the mean of its divisors is an integer number (15733776).

Almost surely, 2^541125312 is an apocalyptic number.

541125312 is a gapful number since it is divisible by the number (52) 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 541125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881091456).

541125312 is an abundant number, since it is smaller than the sum of its proper divisors (1221057600).

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

541125312 is a wasteful number, since it uses less digits than its factorization.

541125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31006 (or 30996 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 541125312 is about 23262.1003350944. The cubic root of 541125312 is about 814.8905530072.

Adding to 541125312 its reverse (213521145), we get a palindrome (754646457).

The spelling of 541125312 in words is "five hundred forty-one million, one hundred twenty-five thousand, three hundred twelve".