505505601 has 6 divisors (see below), whose sum is σ = 730174770. Its totient is φ = 337003728.

The previous prime is 505505599. The next prime is 505505603. The reversal of 505505601 is 106505505.

505505601 is a `hidden beast` number, since 5 + 0 + 5 + 50 + 5 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (505505599) and next prime (505505603).

It can be written as a sum of positive squares in only one way, i.e., 435348225 + 70157376 = 20865^2 + 8376^2 .

It is not a de Polignac number, because 505505601 - 2¹ = 505505599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505505603) 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 in 5 ways as a sum of consecutive naturals, for example, 28083636 + ... + 28083653.

It is an arithmetic number, because the mean of its divisors is an integer number (121695795).

Almost surely, 2^505505601 is an apocalyptic number.

It is an amenable number.

505505601 is a deficient number, since it is larger than the sum of its proper divisors (224669169).

505505601 is a wasteful number, since it uses less digits than its factorization.

505505601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56167295 (or 56167292 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505505601 is about 22483.4517145389. The cubic root of 505505601 is about 796.6030972504.

The spelling of 505505601 in words is "five hundred five million, five hundred five thousand, six hundred one".