1000414125 has 64 divisors (see below), whose sum is σ = 1947129600. Its totient is φ = 505440000.

The previous prime is 1000414117. The next prime is 1000414139. The reversal of 1000414125 is 5214140001.

It is not a de Polignac number, because 1000414125 - 2³ = 1000414117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000414098 and 1000414107.

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 63 ways as a sum of consecutive naturals, for example, 56325 + ... + 71925.

It is an arithmetic number, because the mean of its divisors is an integer number (30423900).

Almost surely, 2^1000414125 is an apocalyptic number.

1000414125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000414125 is a deficient number, since it is larger than the sum of its proper divisors (946715475).

1000414125 is a wasteful number, since it uses less digits than its factorization.

1000414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15628 counting only the distinct ones).

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

The square root of 1000414125 is about 31629.3238150929. The cubic root of 1000414125 is about 1000.1380226155.

Adding to 1000414125 its reverse (5214140001), we get a palindrome (6214554126).

The spelling of 1000414125 in words is "one billion, four hundred fourteen thousand, one hundred twenty-five".