2585803468403 has 2 divisors, whose sum is σ = 2585803468404. Its totient is φ = 2585803468402.

The previous prime is 2585803468301. The next prime is 2585803468481. The reversal of 2585803468403 is 3048643085852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2585803468403 - 2²⁶ = 2585736359539 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585803468483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292901734201 + 1292901734202.

It is an arithmetic number, because the mean of its divisors is an integer number (1292901734202).

Almost surely, 2^{2585803468403} is an apocalyptic number.

2585803468403 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585803468403 is an equidigital number, since it uses as much as digits as its factorization.

2585803468403 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22118400, while the sum is 56.

The spelling of 2585803468403 in words is "two trillion, five hundred eighty-five billion, eight hundred three million, four hundred sixty-eight thousand, four hundred three".