506105600561 has 16 divisors (see below), whose sum is σ = 556449905088. Its totient is φ = 456485265600.

The previous prime is 506105600531. The next prime is 506105600573. The reversal of 506105600561 is 165006501605.

It is a cyclic number.

It is not a de Polignac number, because 506105600561 - 2²⁶ = 506038491697 is a prime.

It is a super-2 number, since 2×506105600561² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506105600531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7107611 + ... + 7178463.

It is an arithmetic number, because the mean of its divisors is an integer number (34778119068).

Almost surely, 2^506105600561 is an apocalyptic number.

It is an amenable number.

506105600561 is a deficient number, since it is larger than the sum of its proper divisors (50344304527).

506105600561 is a wasteful number, since it uses less digits than its factorization.

506105600561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75952.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 506105600561 in words is "five hundred six billion, one hundred five million, six hundred thousand, five hundred sixty-one".