1005242225 has 24 divisors (see below), whose sum is σ = 1388687160. Its totient is φ = 716728320.

The previous prime is 1005242221. The next prime is 1005242263. The reversal of 1005242225 is 5222425001.

It can be written as a sum of positive squares in 12 ways, for example, as 190881856 + 814360369 = 13816^2 + 28537^2 .

It is not a de Polignac number, because 1005242225 - 2² = 1005242221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005242225.

It is not an unprimeable number, because it can be changed into a prime (1005242221) by changing a digit.

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, 43904 + ... + 62753.

It is an arithmetic number, because the mean of its divisors is an integer number (57861965).

Almost surely, 2^1005242225 is an apocalyptic number.

It is an amenable number.

1005242225 is a deficient number, since it is larger than the sum of its proper divisors (383444935).

1005242225 is a wasteful number, since it uses less digits than its factorization.

1005242225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106709 (or 106704 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1005242225 is about 31705.5551126297. Note that the first 3 decimals coincide. The cubic root of 1005242225 is about 1001.7443637592.

Adding to 1005242225 its reverse (5222425001), we get a palindrome (6227667226).

The spelling of 1005242225 in words is "one billion, five million, two hundred forty-two thousand, two hundred twenty-five".