541232040232145 has 8 divisors (see below), whose sum is σ = 687683062883304. Its totient is φ = 407515889115904.

The previous prime is 541232040232141. The next prime is 541232040232181.

541232040232145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 134405439608896 + 406826600623249 = 11593336^2 + 20169943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 541232040232145 - 2² = 541232040232141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541232040232099 and 541232040232108.

It is not an unprimeable number, because it can be changed into a prime (541232040232141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3183717883634 + ... + 3183717883803.

It is an arithmetic number, because the mean of its divisors is an integer number (85960382860413).

Almost surely, 2^{541232040232145} is an apocalyptic number.

It is an amenable number.

541232040232145 is a deficient number, since it is larger than the sum of its proper divisors (146451022651159).

541232040232145 is a wasteful number, since it uses less digits than its factorization.

541232040232145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367435767459.

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 541232040232145 in words is "five hundred forty-one trillion, two hundred thirty-two billion, forty million, two hundred thirty-two thousand, one hundred forty-five".