2005542125 has 16 divisors (see below), whose sum is σ = 2589228720. Its totient is φ = 1549105600.

The previous prime is 2005542113. The next prime is 2005542127. The reversal of 2005542125 is 5212455002.

It can be written as a sum of positive squares in 8 ways, for example, as 554084521 + 1451457604 = 23539^2 + 38098^2 .

It is not a de Polignac number, because 2005542125 - 2¹⁰ = 2005541101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005542094 and 2005542103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005542127) 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 15 ways as a sum of consecutive naturals, for example, 273002 + ... + 280251.

It is an arithmetic number, because the mean of its divisors is an integer number (161826795).

Almost surely, 2^2005542125 is an apocalyptic number.

2005542125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005542125 is a deficient number, since it is larger than the sum of its proper divisors (583686595).

2005542125 is an equidigital number, since it uses as much as digits as its factorization.

2005542125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553297 (or 553287 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 2005542125 is about 44783.2795248405. The cubic root of 2005542125 is about 1261.0837499086.

Adding to 2005542125 its reverse (5212455002), we get a palindrome (7217997127).

The spelling of 2005542125 in words is "two billion, five million, five hundred forty-two thousand, one hundred twenty-five".