2004101525 has 24 divisors (see below), whose sum is σ = 2695468104. Its totient is φ = 1472153600.

The previous prime is 2004101509. The next prime is 2004101531. The reversal of 2004101525 is 5251014002.

It can be written as a sum of positive squares in 12 ways, for example, as 287573764 + 1716527761 = 16958^2 + 41431^2 .

It is not a de Polignac number, because 2004101525 - 2⁴ = 2004101509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004101497 and 2004101506.

It is a congruent number.

It is an unprimeable number.

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, 40082 + ... + 74931.

It is an arithmetic number, because the mean of its divisors is an integer number (112311171).

Almost surely, 2^2004101525 is an apocalyptic number.

2004101525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004101525 is a deficient number, since it is larger than the sum of its proper divisors (691366579).

2004101525 is a wasteful number, since it uses less digits than its factorization.

2004101525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115081 (or 115076 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2004101525 is about 44767.1925074602. The cubic root of 2004101525 is about 1260.7817280946.

Adding to 2004101525 its reverse (5251014002), we get a palindrome (7255115527).

The spelling of 2004101525 in words is "two billion, four million, one hundred one thousand, five hundred twenty-five".