505005610001 has 8 divisors (see below), whose sum is σ = 534721002984. Its totient is φ = 475291237120.

The previous prime is 505005609943. The next prime is 505005610003. The reversal of 505005610001 is 100016500505.

It can be written as a sum of positive squares in 4 ways, for example, as 8757216400 + 496248393601 = 93580^2 + 704449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505005610001 - 2¹⁸ = 505005347857 is a prime.

It is a super-2 number, since 2×505005610001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505005610003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918551 + ... + 1361523.

It is an arithmetic number, because the mean of its divisors is an integer number (66840125373).

Almost surely, 2^505005610001 is an apocalyptic number.

It is an amenable number.

505005610001 is a deficient number, since it is larger than the sum of its proper divisors (29715392983).

505005610001 is a wasteful number, since it uses less digits than its factorization.

505005610001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510051.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 505005610001 in words is "five hundred five billion, five million, six hundred ten thousand, one".