514001 has 2 divisors, whose sum is σ = 514002. Its totient is φ = 514000.

The previous prime is 513991. The next prime is 514009. The reversal of 514001 is 100415.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 483025 + 30976 = 695^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 514001 - 2⁶ = 513937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 514001.

It is not a weakly prime, because it can be changed into another prime (514009) 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, 257000 + 257001.

It is an arithmetic number, because the mean of its divisors is an integer number (257001).

2⁵¹⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

514001 is a deficient number, since it is larger than the sum of its proper divisors (1).

514001 is an equidigital number, since it uses as much as digits as its factorization.

514001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 514001 is about 716.9386305675. The cubic root of 514001 is about 80.1040832747.

Adding to 514001 its reverse (100415), we get a palindrome (614416).

The spelling of 514001 in words is "five hundred fourteen thousand, one".