541235521232 has 80 divisors (see below), whose sum is σ = 1251874517760. Its totient is φ = 221639126016.

The previous prime is 541235521223. The next prime is 541235521259. The reversal of 541235521232 is 232125532145.

It is a junction number, because it is equal to n+sod(n) for n = 541235521192 and 541235521201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344694 + ... + 2565162.

It is an arithmetic number, because the mean of its divisors is an integer number (15648431472).

Almost surely, 2^541235521232 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 541235521232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625937258880).

541235521232 is an abundant number, since it is smaller than the sum of its proper divisors (710638996528).

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

541235521232 is a wasteful number, since it uses less digits than its factorization.

541235521232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221460 (or 221454 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The spelling of 541235521232 in words is "five hundred forty-one billion, two hundred thirty-five million, five hundred twenty-one thousand, two hundred thirty-two".