510401 has 2 divisors, whose sum is σ = 510402. Its totient is φ = 510400.

The previous prime is 510383. The next prime is 510403. The reversal of 510401 is 104015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330625 + 179776 = 575^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 510401 - 2¹⁸ = 248257 is a prime.

Together with 510403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (510403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255200 + 255201.

It is an arithmetic number, because the mean of its divisors is an integer number (255201).

2⁵¹⁰⁴⁰¹ is an apocalyptic number.

510401 is the 320-th centered decagonal number.

It is an amenable number.

510401 is a deficient number, since it is larger than the sum of its proper divisors (1).

510401 is an equidigital number, since it uses as much as digits as its factorization.

510401 is an evil number, because the sum of its binary digits is even.

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

The square root of 510401 is about 714.4235438450. The cubic root of 510401 is about 79.9166319022.

Adding to 510401 its reverse (104015), we get a palindrome (614416).

The spelling of 510401 in words is "five hundred ten thousand, four hundred one".