541011110145 has 128 divisors (see below), whose sum is σ = 1036253675520. Its totient is φ = 238101120000.

The previous prime is 541011110039. The next prime is 541011110153.

541011110145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541011110145 - 2⁹ = 541011109633 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9788127 + ... + 9843243.

It is an arithmetic number, because the mean of its divisors is an integer number (8095731840).

Almost surely, 2^541011110145 is an apocalyptic number.

541011110145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541011110145 is a deficient number, since it is larger than the sum of its proper divisors (495242565375).

541011110145 is a wasteful number, since it uses less digits than its factorization.

541011110145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55287.

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 541011 and 110145, that added together give a palindrome (651156).

The spelling of 541011110145 in words is "five hundred forty-one billion, eleven million, one hundred ten thousand, one hundred forty-five".