1006223125 has 20 divisors (see below), whose sum is σ = 1259456220. Its totient is φ = 803648000.

The previous prime is 1006223123. The next prime is 1006223129. The reversal of 1006223125 is 5213226001.

It can be written as a sum of positive squares in 10 ways, for example, as 983575044 + 22648081 = 31362^2 + 4759^2 .

It is not a de Polignac number, because 1006223125 - 2¹ = 1006223123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006223096 and 1006223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006223123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579759 + ... + 581491.

It is an arithmetic number, because the mean of its divisors is an integer number (62972811).

Almost surely, 2^1006223125 is an apocalyptic number.

It is an amenable number.

1006223125 is a deficient number, since it is larger than the sum of its proper divisors (253233095).

1006223125 is an frugal number, since it uses more digits than its factorization.

1006223125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1006223125 is about 31721.0202389520. The cubic root of 1006223125 is about 1002.0700867838.

Adding to 1006223125 its reverse (5213226001), we get a palindrome (6219449126).

The spelling of 1006223125 in words is "one billion, six million, two hundred twenty-three thousand, one hundred twenty-five".