2585388003 has 24 divisors (see below), whose sum is σ = 3911298048. Its totient is φ = 1516350000.

The previous prime is 2585387993. The next prime is 2585388011. The reversal of 2585388003 is 3008835852.

It is not a de Polignac number, because 2585388003 - 2⁸ = 2585387747 is a prime.

It is a super-2 number, since 2×2585388003² = 13368462252112656018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2585388023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103623 + ... + 126128.

It is an arithmetic number, because the mean of its divisors is an integer number (162970752).

Almost surely, 2^2585388003 is an apocalyptic number.

2585388003 is a deficient number, since it is larger than the sum of its proper divisors (1325910045).

2585388003 is a wasteful number, since it uses less digits than its factorization.

2585388003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229807 (or 229796 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2585388003 is about 50846.7108375753. The cubic root of 2585388003 is about 1372.4880645012.

The spelling of 2585388003 in words is "two billion, five hundred eighty-five million, three hundred eighty-eight thousand, three".