1005040025 has 24 divisors (see below), whose sum is σ = 1361142048. Its totient is φ = 730080000.

The previous prime is 1005039961. The next prime is 1005040031. The reversal of 1005040025 is 5200405001.

It is not a de Polignac number, because 1005040025 - 2⁶ = 1005039961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005039985 and 1005040012.

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 23 ways as a sum of consecutive naturals, for example, 320465 + ... + 323585.

It is an arithmetic number, because the mean of its divisors is an integer number (56714252).

Almost surely, 2^1005040025 is an apocalyptic number.

It is an amenable number.

1005040025 is a deficient number, since it is larger than the sum of its proper divisors (356102023).

1005040025 is a wasteful number, since it uses less digits than its factorization.

1005040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1005040025 is about 31702.3662366076. The cubic root of 1005040025 is about 1001.6771937817.

Adding to 1005040025 its reverse (5200405001), we get a palindrome (6205445026).

It can be divided in two parts, 100 and 5040025, that multiplied together give a square (504002500 = 22450²).

The spelling of 1005040025 in words is "one billion, five million, forty thousand, twenty-five".