2002105125 has 24 divisors (see below), whose sum is σ = 3609130200. Its totient is φ = 1067788800.

The previous prime is 2002105117. The next prime is 2002105139. The reversal of 2002105125 is 5215012002.

It can be written as a sum of positive squares in 4 ways, for example, as 2405601 + 1999699524 = 1551^2 + 44718^2 .

It is not a de Polignac number, because 2002105125 - 2³ = 2002105117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002105098 and 2002105107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888700 + ... + 890949.

It is an arithmetic number, because the mean of its divisors is an integer number (150380425).

Almost surely, 2^2002105125 is an apocalyptic number.

2002105125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002105125 is a deficient number, since it is larger than the sum of its proper divisors (1607025075).

2002105125 is a wasteful number, since it uses less digits than its factorization.

2002105125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779670 (or 1779657 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2002105125 is about 44744.8893729776. The cubic root of 2002105125 is about 1260.3629434410.

Adding to 2002105125 its reverse (5215012002), we get a palindrome (7217117127).

The spelling of 2002105125 in words is "two billion, two million, one hundred five thousand, one hundred twenty-five".