541255552145 has 32 divisors (see below), whose sum is σ = 810119460096. Its totient is φ = 337262342400.

The previous prime is 541255552141. The next prime is 541255552183.

It is a happy number.

541255552145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541255552145 - 2² = 541255552141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541255552096 and 541255552105.

It is not an unprimeable number, because it can be changed into a prime (541255552141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 609215 + ... + 1205675.

It is an arithmetic number, because the mean of its divisors is an integer number (25316233128).

Almost surely, 2^541255552145 is an apocalyptic number.

541255552145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541255552145 is a deficient number, since it is larger than the sum of its proper divisors (268863907951).

541255552145 is a wasteful number, since it uses less digits than its factorization.

541255552145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598841.

The product of its digits is 1000000, while the sum is 44.

The spelling of 541255552145 in words is "five hundred forty-one billion, two hundred fifty-five million, five hundred fifty-two thousand, one hundred forty-five".