505106105601 has 16 divisors (see below), whose sum is σ = 677479507200. Its totient is φ = 334736400528.

The previous prime is 505106105519. The next prime is 505106105611. The reversal of 505106105601 is 106501601505.

It is not a de Polignac number, because 505106105601 - 2¹⁴ = 505106089217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505106105611) 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, 1346970 + ... + 1680636.

It is an arithmetic number, because the mean of its divisors is an integer number (42342469200).

Almost surely, 2^505106105601 is an apocalyptic number.

It is an amenable number.

505106105601 is a deficient number, since it is larger than the sum of its proper divisors (172373401599).

505106105601 is a wasteful number, since it uses less digits than its factorization.

505106105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336668.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 505106105601 in words is "five hundred five billion, one hundred six million, one hundred five thousand, six hundred one".