505705001 has 8 divisors (see below), whose sum is σ = 537678504. Its totient is φ = 473978880.

The previous prime is 505704977. The next prime is 505705019. The reversal of 505705001 is 100507505.

It can be written as a sum of positive squares in 4 ways, for example, as 230310976 + 275394025 = 15176^2 + 16595^2 .

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 505705001 - 2¹⁸ = 505442857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505705601) 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 7 ways as a sum of consecutive naturals, for example, 57620 + ... + 65813.

It is an arithmetic number, because the mean of its divisors is an integer number (67209813).

Almost surely, 2^505705001 is an apocalyptic number.

It is an amenable number.

505705001 is a deficient number, since it is larger than the sum of its proper divisors (31973503).

505705001 is a wasteful number, since it uses less digits than its factorization.

505705001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123691.

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 505705001 is about 22487.8856498338. The cubic root of 505705001 is about 796.7078252537.

The spelling of 505705001 in words is "five hundred five million, seven hundred five thousand, one".