1039095225 has 81 divisors (see below), whose sum is σ = 2172068847. Its totient is φ = 473467680.

The previous prime is 1039095193. The next prime is 1039095227. The reversal of 1039095225 is 5225909301.

It is a happy number.

The square root of 1039095225 is 32235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 374074281 + 665020944 = 19341^2 + 25788^2 .

It is not a de Polignac number, because 1039095225 - 2⁵ = 1039095193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1039095225.

It is not an unprimeable number, because it can be changed into a prime (1039095227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3384522 + ... + 3384828.

Almost surely, 2^1039095225 is an apocalyptic number.

1039095225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1039095225 is the 32235-th square number.

1039095225 is the 16118-th centered octagonal number.

It is an amenable number.

1039095225 is an abundant number, since it is smaller than the sum of its proper divisors (1132973622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1039095225 is an equidigital number, since it uses as much as digits as its factorization.

1039095225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The cubic root of 1039095225 is about 1012.8655104681.

Multiplying 1039095225 by its sum of digits (36), we get a square (37407428100 = 193410²).

The spelling of 1039095225 in words is "one billion, thirty-nine million, ninety-five thousand, two hundred twenty-five".