1005225641 has 16 divisors (see below), whose sum is σ = 1173926400. Its totient is φ = 860408640.

The previous prime is 1005225619. The next prime is 1005225653. The reversal of 1005225641 is 1465225001.

It is not a de Polignac number, because 1005225641 - 2¹⁰ = 1005224617 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 1005225641.

It is not an unprimeable number, because it can be changed into a prime (1005225601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 310865 + ... + 314081.

It is an arithmetic number, because the mean of its divisors is an integer number (73370400).

Almost surely, 2^1005225641 is an apocalyptic number.

It is an amenable number.

1005225641 is a deficient number, since it is larger than the sum of its proper divisors (168700759).

1005225641 is an frugal number, since it uses more digits than its factorization.

1005225641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1005225641 is about 31705.2935800948. The cubic root of 1005225641 is about 1001.7388549642.

The spelling of 1005225641 in words is "one billion, five million, two hundred twenty-five thousand, six hundred forty-one".