505785101 has 2 divisors, whose sum is σ = 505785102. Its totient is φ = 505785100.

The previous prime is 505785083. The next prime is 505785113. The reversal of 505785101 is 101587505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355134025 + 150651076 = 18845^2 + 12274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505785101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505785121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252892550 + 252892551.

It is an arithmetic number, because the mean of its divisors is an integer number (252892551).

Almost surely, 2^505785101 is an apocalyptic number.

It is an amenable number.

505785101 is a deficient number, since it is larger than the sum of its proper divisors (1).

505785101 is an equidigital number, since it uses as much as digits as its factorization.

505785101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 32.

The square root of 505785101 is about 22489.6665382126. Note that the first 3 decimals coincide. The cubic root of 505785101 is about 796.7498872777.

The spelling of 505785101 in words is "five hundred five million, seven hundred eighty-five thousand, one hundred one".