1005220625 has 40 divisors (see below), whose sum is σ = 1366493832. Its totient is φ = 736128000.

The previous prime is 1005220609. The next prime is 1005220633. The reversal of 1005220625 is 5260225001.

It can be written as a sum of positive squares in 20 ways, for example, as 816130624 + 189090001 = 28568^2 + 13751^2 .

It is not a de Polignac number, because 1005220625 - 2⁴ = 1005220609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005220625.

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 39 ways as a sum of consecutive naturals, for example, 391847 + ... + 394403.

Almost surely, 2^1005220625 is an apocalyptic number.

It is an amenable number.

1005220625 is a deficient number, since it is larger than the sum of its proper divisors (361273207).

1005220625 is an equidigital number, since it uses as much as digits as its factorization.

1005220625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1005220625 is about 31705.2144764864. The cubic root of 1005220625 is about 1001.7371887610.

Adding to 1005220625 its reverse (5260225001), we get a palindrome (6265445626).

The spelling of 1005220625 in words is "one billion, five million, two hundred twenty thousand, six hundred twenty-five".