505859201 has 2 divisors, whose sum is σ = 505859202. Its totient is φ = 505859200.

The previous prime is 505859183. The next prime is 505859213. The reversal of 505859201 is 102958505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327610000 + 178249201 = 18100^2 + 13351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505859201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (505859231) 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 as a sum of consecutive naturals, namely, 252929600 + 252929601.

It is an arithmetic number, because the mean of its divisors is an integer number (252929601).

Almost surely, 2^505859201 is an apocalyptic number.

It is an amenable number.

505859201 is a deficient number, since it is larger than the sum of its proper divisors (1).

505859201 is an equidigital number, since it uses as much as digits as its factorization.

505859201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 505859201 is about 22491.3139011486. The cubic root of 505859201 is about 796.7887946342.

The spelling of 505859201 in words is "five hundred five million, eight hundred fifty-nine thousand, two hundred one".