2001000125 has 12 divisors (see below), whose sum is σ = 2497872468. Its totient is φ = 1600400000.

The previous prime is 2001000101. The next prime is 2001000139. The reversal of 2001000125 is 5210001002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1723744324 + 277255801 = 41518^2 + 16651^2 .

It is not a de Polignac number, because 2001000125 - 2²⁴ = 1984222909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498125 + ... + 502125.

It is an arithmetic number, because the mean of its divisors is an integer number (208156039).

Almost surely, 2^2001000125 is an apocalyptic number.

2001000125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2001000125 is a deficient number, since it is larger than the sum of its proper divisors (496872343).

2001000125 is an frugal number, since it uses more digits than its factorization.

2001000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8017 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2001000125 is about 44732.5398898833. The cubic root of 2001000125 is about 1260.1310279880.

Multiplying 2001000125 by its product of nonzero digits (20), we get a square (40020002500 = 200050²).

Adding to 2001000125 its reverse (5210001002), we get a palindrome (7211001127).

The spelling of 2001000125 in words is "two billion, one million, one hundred twenty-five", and thus it is an aban number.