1005042825 has 18 divisors (see below), whose sum is σ = 1800143774. Its totient is φ = 536022720.

The previous prime is 1005042809. The next prime is 1005042833. The reversal of 1005042825 is 5282405001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20903184 + 984139641 = 4572^2 + 31371^2 .

It is not a de Polignac number, because 1005042825 - 2⁴ = 1005042809 is a prime.

It is a super-2 number, since 2×1005042825² = 2020222160167961250, which contains 22 as substring.

It is a Duffinian 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 17 ways as a sum of consecutive naturals, for example, 2233204 + ... + 2233653.

Almost surely, 2^1005042825 is an apocalyptic number.

1005042825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005042825 is a deficient number, since it is larger than the sum of its proper divisors (795100949).

1005042825 is a wasteful number, since it uses less digits than its factorization.

1005042825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466873 (or 4466865 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1005042825 is about 31702.4103973184. The cubic root of 1005042825 is about 1001.6781239913.

Adding to 1005042825 its reverse (5282405001), we get a palindrome (6287447826).

The spelling of 1005042825 in words is "one billion, five million, forty-two thousand, eight hundred twenty-five".