506101 has 2 divisors, whose sum is σ = 506102. Its totient is φ = 506100.

The previous prime is 506083. The next prime is 506113. The reversal of 506101 is 101605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303601 + 202500 = 551^2 + 450^2 .

It is a cyclic number.

It is not a de Polignac number, because 506101 - 2¹⁷ = 375029 is a prime.

It is a super-2 number, since 2×506101² = 512276444402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253050 + 253051.

It is an arithmetic number, because the mean of its divisors is an integer number (253051).

2⁵⁰⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

506101 is a deficient number, since it is larger than the sum of its proper divisors (1).

506101 is an equidigital number, since it uses as much as digits as its factorization.

506101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 506101 is about 711.4077593054. The cubic root of 506101 is about 79.6915728535.

Adding to 506101 its reverse (101605), we get a palindrome (607706).

Subtracting from 506101 its reverse (101605), we obtain a square (404496 = 636²).

The spelling of 506101 in words is "five hundred six thousand, one hundred one".