505505501 has 2 divisors, whose sum is σ = 505505502. Its totient is φ = 505505500.

The previous prime is 505505479. The next prime is 505505527. The reversal of 505505501 is 105505505.

It is an a-pointer prime, because the next prime (505505527) can be obtained adding 505505501 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 436183225 + 69322276 = 20885^2 + 8326^2 .

It is a cyclic number.

It is not a de Polignac number, because 505505501 - 2¹⁸ = 505243357 is a prime.

It is a super-2 number, since 2×505505501² = 511071623082522002, which contains 22 as substring.

It is a Chen prime.

It is equal to p_26630153 and since 505505501 and 26630153 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505501501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252752750 + 252752751.

It is an arithmetic number, because the mean of its divisors is an integer number (252752751).

Almost surely, 2^505505501 is an apocalyptic number.

It is an amenable number.

505505501 is a deficient number, since it is larger than the sum of its proper divisors (1).

505505501 is an equidigital number, since it uses as much as digits as its factorization.

505505501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3125, while the sum is 26.

The square root of 505505501 is about 22483.4494906809. The cubic root of 505505501 is about 796.6030447219.

The spelling of 505505501 in words is "five hundred five million, five hundred five thousand, five hundred one".