505606101 has 64 divisors (see below), whose sum is σ = 914651136. Its totient is φ = 239904000.

The previous prime is 505606081. The next prime is 505606111. The reversal of 505606101 is 101606505.

It is not a de Polignac number, because 505606101 - 2⁵ = 505606069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505606111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302470 + ... + 304136.

It is an arithmetic number, because the mean of its divisors is an integer number (14291424).

Almost surely, 2^505606101 is an apocalyptic number.

It is an amenable number.

505606101 is a deficient number, since it is larger than the sum of its proper divisors (409045035).

505606101 is a wasteful number, since it uses less digits than its factorization.

505606101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 505606101 is about 22485.6865805783. The cubic root of 505606101 is about 796.6558848662.

It can be divided in two parts, 505 and 606101, that added together give a palindrome (606606).

The spelling of 505606101 in words is "five hundred five million, six hundred six thousand, one hundred one".