505705101 has 24 divisors (see below), whose sum is σ = 756938112. Its totient is φ = 299956800.

The previous prime is 505705093. The next prime is 505705127. The reversal of 505705101 is 101507505.

It is not a de Polignac number, because 505705101 - 2³ = 505705093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505705141) 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, 2241 + ... + 31881.

It is an arithmetic number, because the mean of its divisors is an integer number (31539088).

Almost surely, 2^505705101 is an apocalyptic number.

It is an amenable number.

505705101 is a deficient number, since it is larger than the sum of its proper divisors (251233011).

505705101 is a wasteful number, since it uses less digits than its factorization.

505705101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29713 (or 29702 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 505705101 is about 22487.8878732530. The cubic root of 505705101 is about 796.7078777683.

The spelling of 505705101 in words is "five hundred five million, seven hundred five thousand, one hundred one".