506461001 has 2 divisors, whose sum is σ = 506461002. Its totient is φ = 506461000.

The previous prime is 506460967. The next prime is 506461027. The reversal of 506461001 is 100164605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 362940601 + 143520400 = 19051^2 + 11980^2 .

It is a cyclic number.

It is not a de Polignac number, because 506461001 - 2²² = 502266697 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (506461051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253230500 + 253230501.

It is an arithmetic number, because the mean of its divisors is an integer number (253230501).

Almost surely, 2^506461001 is an apocalyptic number.

It is an amenable number.

506461001 is a deficient number, since it is larger than the sum of its proper divisors (1).

506461001 is an equidigital number, since it uses as much as digits as its factorization.

506461001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 506461001 is about 22504.6884226376. The cubic root of 506461001 is about 797.1046384310.

The spelling of 506461001 in words is "five hundred six million, four hundred sixty-one thousand, one".