1005263025 has 48 divisors (see below), whose sum is σ = 1828049664. Its totient is φ = 484346880.

The previous prime is 1005263003. The next prime is 1005263033. The reversal of 1005263025 is 5203625001.

It is not a de Polignac number, because 1005263025 - 2⁷ = 1005262897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005262986 and 1005263004.

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 47 ways as a sum of consecutive naturals, for example, 34857 + ... + 56793.

It is an arithmetic number, because the mean of its divisors is an integer number (38084368).

Almost surely, 2^1005263025 is an apocalyptic number.

1005263025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005263025 is a deficient number, since it is larger than the sum of its proper divisors (822786639).

1005263025 is a wasteful number, since it uses less digits than its factorization.

1005263025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010 (or 22005 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1005263025 is about 31705.8831291607. The cubic root of 1005263025 is about 1001.7512729195.

Adding to 1005263025 its reverse (5203625001), we get a palindrome (6208888026).

The spelling of 1005263025 in words is "one billion, five million, two hundred sixty-three thousand, twenty-five".