541333505333145 has 32 divisors (see below), whose sum is σ = 989972075566080. Its totient is φ = 247440471698880.

The previous prime is 541333505333011. The next prime is 541333505333171.

It is a happy number.

541333505333145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541333505333145 - 2¹⁷ = 541333505202073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541333505333094 and 541333505333103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272689591 + ... + 274667580.

It is an arithmetic number, because the mean of its divisors is an integer number (30936627361440).

Almost surely, 2^{541333505333145} is an apocalyptic number.

It is an amenable number.

541333505333145 is a deficient number, since it is larger than the sum of its proper divisors (448638570232935).

541333505333145 is a wasteful number, since it uses less digits than its factorization.

541333505333145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547366605.

The product of its (nonzero) digits is 7290000, while the sum is 48.

It can be divided in two parts, 54133350 and 5333145, that added together give a palindrome (59466495).

The spelling of 541333505333145 in words is "five hundred forty-one trillion, three hundred thirty-three billion, five hundred five million, three hundred thirty-three thousand, one hundred forty-five".