20080125 has 48 divisors (see below), whose sum is σ = 39010608. Its totient is φ = 9878400.

The previous prime is 20080117. The next prime is 20080129. The reversal of 20080125 is 52108002.

It can be written as a sum of positive squares in 8 ways, for example, as 3992004 + 16088121 = 1998^2 + 4011^2 .

It is not a de Polignac number, because 20080125 - 2³ = 20080117 is a prime.

It is a super-2 number, since 2×20080125² = 806422840031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20080098 and 20080107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20080129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13939 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (812721).

Almost surely, 2^20080125 is an apocalyptic number.

20080125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20080125 is a deficient number, since it is larger than the sum of its proper divisors (18930483).

20080125 is a wasteful number, since it uses less digits than its factorization.

20080125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20080125 is about 4481.0852480175. The cubic root of 20080125 is about 271.8037665142.

Adding to 20080125 its reverse (52108002), we get a palindrome (72188127).

The spelling of 20080125 in words is "twenty million, eighty thousand, one hundred twenty-five".