5256401 has 2 divisors, whose sum is σ = 5256402. Its totient is φ = 5256400.

The previous prime is 5256389. The next prime is 5256413. The reversal of 5256401 is 1046525.

It is a balanced prime because it is at equal distance from previous prime (5256389) and next prime (5256413).

It can be written as a sum of positive squares in only one way, i.e., 3066001 + 2190400 = 1751^2 + 1480^2 .

It is a cyclic number.

It is not a de Polignac number, because 5256401 - 2¹⁴ = 5240017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5256481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2628200 + 2628201.

It is an arithmetic number, because the mean of its divisors is an integer number (2628201).

Almost surely, 2^5256401 is an apocalyptic number.

It is an amenable number.

5256401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5256401 is an equidigital number, since it uses as much as digits as its factorization.

5256401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5256401 is about 2292.6842346909. The cubic root of 5256401 is about 173.8719386252.

The spelling of 5256401 in words is "five million, two hundred fifty-six thousand, four hundred one".