541256652145 has 8 divisors (see below), whose sum is σ = 708554162880. Its totient is φ = 393641201520.

The previous prime is 541256652127. The next prime is 541256652187.

541256652145 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 541256652145 - 2¹⁷ = 541256521073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541256652095 and 541256652104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4920514965 + ... + 4920515074.

It is an arithmetic number, because the mean of its divisors is an integer number (88569270360).

Almost surely, 2^541256652145 is an apocalyptic number.

541256652145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541256652145 is a deficient number, since it is larger than the sum of its proper divisors (167297510735).

541256652145 is a wasteful number, since it uses less digits than its factorization.

541256652145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841030055.

The product of its digits is 1440000, while the sum is 46.

The spelling of 541256652145 in words is "five hundred forty-one billion, two hundred fifty-six million, six hundred fifty-two thousand, one hundred forty-five".