1000252125 has 64 divisors (see below), whose sum is σ = 1867008000. Its totient is φ = 528379200.

The previous prime is 1000252091. The next prime is 1000252133. The reversal of 1000252125 is 5212520001.

It is not a de Polignac number, because 1000252125 - 2⁷ = 1000251997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000252098 and 1000252107.

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 63 ways as a sum of consecutive naturals, for example, 366516 + ... + 369234.

It is an arithmetic number, because the mean of its divisors is an integer number (29172000).

Almost surely, 2^1000252125 is an apocalyptic number.

1000252125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000252125 is a deficient number, since it is larger than the sum of its proper divisors (866755875).

1000252125 is a wasteful number, since it uses less digits than its factorization.

1000252125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2836 counting only the distinct ones).

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

The square root of 1000252125 is about 31626.7627967201. The cubic root of 1000252125 is about 1000.0840346047.

Adding to 1000252125 its reverse (5212520001), we get a palindrome (6212772126).

The spelling of 1000252125 in words is "one billion, two hundred fifty-two thousand, one hundred twenty-five".