2005133425 has 12 divisors (see below), whose sum is σ = 2632622796. Its totient is φ = 1509747200.

The previous prime is 2005133423. The next prime is 2005133443. The reversal of 2005133425 is 5243315002.

It can be written as a sum of positive squares in 6 ways, for example, as 228342321 + 1776791104 = 15111^2 + 42152^2 .

It is not a de Polignac number, because 2005133425 - 2¹ = 2005133423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005133425.

It is not an unprimeable number, because it can be changed into a prime (2005133423) 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 11 ways as a sum of consecutive naturals, for example, 2358556 + ... + 2359405.

It is an arithmetic number, because the mean of its divisors is an integer number (219385233).

Almost surely, 2^2005133425 is an apocalyptic number.

2005133425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005133425 is a deficient number, since it is larger than the sum of its proper divisors (627489371).

2005133425 is a wasteful number, since it uses less digits than its factorization.

2005133425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717988 (or 4717983 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2005133425 is about 44778.7162053581. The cubic root of 2005133425 is about 1260.9980806463.

Adding to 2005133425 its reverse (5243315002), we get a palindrome (7248448427).

The spelling of 2005133425 in words is "two billion, five million, one hundred thirty-three thousand, four hundred twenty-five".