541345431211221 has 64 divisors (see below), whose sum is σ = 891036647424000. Its totient is φ = 284686043959296.

The previous prime is 541345431211183. The next prime is 541345431211223. The reversal of 541345431211221 is 122112134543145.

It is a happy number.

It is not a de Polignac number, because 541345431211221 - 2⁷ = 541345431211093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 541345431211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541345431211223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155049490 + ... + 158502476.

It is an arithmetic number, because the mean of its divisors is an integer number (13922447616000).

Almost surely, 2^{541345431211221} is an apocalyptic number.

It is an amenable number.

541345431211221 is a deficient number, since it is larger than the sum of its proper divisors (349691216212779).

541345431211221 is a wasteful number, since it uses less digits than its factorization.

541345431211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454738.

The product of its digits is 115200, while the sum is 39.

Adding to 541345431211221 its reverse (122112134543145), we get a palindrome (663457565754366).

The spelling of 541345431211221 in words is "five hundred forty-one trillion, three hundred forty-five billion, four hundred thirty-one million, two hundred eleven thousand, two hundred twenty-one".