1004000025 has 192 divisors, whose sum is σ = 2156433408. Its totient is φ = 401448960.

The previous prime is 1004000017. The next prime is 1004000027. The reversal of 1004000025 is 5200004001.

It is not a de Polignac number, because 1004000025 - 2³ = 1004000017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004000027) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 13753389 + ... + 13753461.

It is an arithmetic number, because the mean of its divisors is an integer number (11231424).

Almost surely, 2^1004000025 is an apocalyptic number.

1004000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004000025 is an abundant number, since it is smaller than the sum of its proper divisors (1152433383).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004000025 is a wasteful number, since it uses less digits than its factorization.

1004000025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1004000025 is about 31685.9594300062. The cubic root of 1004000025 is about 1001.3315678069.

Adding to 1004000025 its reverse (5200004001), we get a palindrome (6204004026).

The spelling of 1004000025 in words is "one billion, four million, twenty-five", and thus it is an aban number.