2516401 has 2 divisors, whose sum is σ = 2516402. Its totient is φ = 2516400.

The previous prime is 2516377. The next prime is 2516411. The reversal of 2516401 is 1046152.

2516401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1795600 + 720801 = 1340^2 + 849^2 .

It is a cyclic number.

It is not a de Polignac number, because 2516401 - 2⁵ = 2516369 is a prime.

2516401 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2516411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1258200 + 1258201.

It is an arithmetic number, because the mean of its divisors is an integer number (1258201).

2^2516401 is an apocalyptic number.

It is an amenable number.

2516401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2516401 is an equidigital number, since it uses as much as digits as its factorization.

2516401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2516401 is about 1586.3168031639. The cubic root of 2516401 is about 136.0170285771.

The spelling of 2516401 in words is "two million, five hundred sixteen thousand, four hundred one".