505500101 has 2 divisors, whose sum is σ = 505500102. Its totient is φ = 505500100.

The previous prime is 505500089. The next prime is 505500103. The reversal of 505500101 is 101005505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480749476 + 24750625 = 21926^2 + 4975^2 .

It is a cyclic number.

It is not a de Polignac number, because 505500101 - 2¹⁰ = 505499077 is a prime.

It is a super-2 number, since 2×505500101² = 511060704222020402, which contains 22 as substring.

Together with 505500103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505500101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505500103) 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, 252750050 + 252750051.

It is an arithmetic number, because the mean of its divisors is an integer number (252750051).

Almost surely, 2^505500101 is an apocalyptic number.

It is an amenable number.

505500101 is a deficient number, since it is larger than the sum of its proper divisors (1).

505500101 is an equidigital number, since it uses as much as digits as its factorization.

505500101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 505500101 is about 22483.3294020258. The cubic root of 505500101 is about 796.6002081740.

Adding to 505500101 its reverse (101005505), we get a palindrome (606505606).

The spelling of 505500101 in words is "five hundred five million, five hundred thousand, one hundred one".