541247742145 has 32 divisors (see below), whose sum is σ = 716651712000. Its totient is φ = 389131438080.

The previous prime is 541247742131. The next prime is 541247742181.

541247742145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541247742145 - 2¹⁵ = 541247709377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541247742095 and 541247742104.

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, 34056361 + ... + 34072249.

It is an arithmetic number, because the mean of its divisors is an integer number (22395366000).

Almost surely, 2^541247742145 is an apocalyptic number.

541247742145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541247742145 is a deficient number, since it is larger than the sum of its proper divisors (175403969855).

541247742145 is a wasteful number, since it uses less digits than its factorization.

541247742145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953.

The product of its digits is 1254400, while the sum is 46.

The spelling of 541247742145 in words is "five hundred forty-one billion, two hundred forty-seven million, seven hundred forty-two thousand, one hundred forty-five".