1006577225 has 12 divisors (see below), whose sum is σ = 1321577244. Its totient is φ = 757893120.

The previous prime is 1006577207. The next prime is 1006577233. The reversal of 1006577225 is 5227756001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16908544 + 989668681 = 4112^2 + 31459^2 .

It is not a de Polignac number, because 1006577225 - 2²² = 1002382921 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1183784 + ... + 1184633.

It is an arithmetic number, because the mean of its divisors is an integer number (110131437).

Almost surely, 2^1006577225 is an apocalyptic number.

It is an amenable number.

1006577225 is a deficient number, since it is larger than the sum of its proper divisors (315000019).

1006577225 is a wasteful number, since it uses less digits than its factorization.

1006577225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368444 (or 2368439 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 1006577225 is about 31726.6012204270. The cubic root of 1006577225 is about 1002.1876191660.

The spelling of 1006577225 in words is "one billion, six million, five hundred seventy-seven thousand, two hundred twenty-five".