506456105444561 has 24 divisors (see below), whose sum is σ = 537596786976480. Its totient is φ = 476810164196352.

The previous prime is 506456105444533. The next prime is 506456105444581. The reversal of 506456105444561 is 165444501654605.

It is not a de Polignac number, because 506456105444561 - 2³⁴ = 506438925575377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506456105444497 and 506456105444506.

It is not an unprimeable number, because it can be changed into a prime (506456105444581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33904016 + ... + 46501553.

It is an arithmetic number, because the mean of its divisors is an integer number (22399866124020).

Almost surely, 2^{506456105444561} is an apocalyptic number.

It is an amenable number.

506456105444561 is a deficient number, since it is larger than the sum of its proper divisors (31140681531919).

506456105444561 is a wasteful number, since it uses less digits than its factorization.

506456105444561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80405793 (or 80405756 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 56.

The spelling of 506456105444561 in words is "five hundred six trillion, four hundred fifty-six billion, one hundred five million, four hundred forty-four thousand, five hundred sixty-one".