505105101 has 12 divisors (see below), whose sum is σ = 767996320. Its totient is φ = 319013640.

The previous prime is 505105061. The next prime is 505105109. The reversal of 505105101 is 101501505.

505105101 is a `hidden beast` number, since 50 + 510 + 5 + 101 = 666.

It is not a de Polignac number, because 505105101 - 2¹³ = 505096909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1476745 + ... + 1477086.

Almost surely, 2^505105101 is an apocalyptic number.

It is an amenable number.

505105101 is a deficient number, since it is larger than the sum of its proper divisors (262891219).

505105101 is a wasteful number, since it uses less digits than its factorization.

505105101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953856 (or 2953853 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 505105101 is about 22474.5433991438. The cubic root of 505105101 is about 796.3926651387.

Adding to 505105101 its reverse (101501505), we get a palindrome (606606606).

It can be divided in two parts, 50510 and 5101, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 505105101 in words is "five hundred five million, one hundred five thousand, one hundred one".