541256507561 has 16 divisors (see below), whose sum is σ = 685875827328. Its totient is φ = 414844243200.

The previous prime is 541256507543. The next prime is 541256507569. The reversal of 541256507561 is 165705652145.

It is a cyclic number.

It is not a de Polignac number, because 541256507561 - 2¹⁴ = 541256491177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541256507569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57612560 + ... + 57621953.

It is an arithmetic number, because the mean of its divisors is an integer number (42867239208).

Almost surely, 2^541256507561 is an apocalyptic number.

It is an amenable number.

541256507561 is a deficient number, since it is larger than the sum of its proper divisors (144619319767).

541256507561 is a wasteful number, since it uses less digits than its factorization.

541256507561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115234592.

The product of its (nonzero) digits is 1260000, while the sum is 47.

The spelling of 541256507561 in words is "five hundred forty-one billion, two hundred fifty-six million, five hundred seven thousand, five hundred sixty-one".