541001332533020 has 144 divisors (see below), whose sum is σ = 1228235659949088. Its totient is φ = 200072956784640.

The previous prime is 541001332533007. The next prime is 541001332533023. The reversal of 541001332533020 is 20335233100145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541001332533023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271551839 + ... + 273536841.

It is an arithmetic number, because the mean of its divisors is an integer number (8529414305202).

Almost surely, 2^{541001332533020} 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 541001332533020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614117829974544).

541001332533020 is an abundant number, since it is smaller than the sum of its proper divisors (687234327416068).

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

541001332533020 is a wasteful number, since it uses less digits than its factorization.

541001332533020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985880 (or 1985861 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 541001332533020 its reverse (20335233100145), we get a palindrome (561336565633165).

The spelling of 541001332533020 in words is "five hundred forty-one trillion, one billion, three hundred thirty-two million, five hundred thirty-three thousand, twenty".