1007110225 has 27 divisors (see below), whose sum is σ = 1375049361. Its totient is φ = 731174400.

The previous prime is 1007110217. The next prime is 1007110241. The reversal of 1007110225 is 5220117001.

The square root of 1007110225 is 31735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 284360769 + 722749456 = 16863^2 + 26884^2 .

It is not a de Polignac number, because 1007110225 - 2³ = 1007110217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1745137 + ... + 1745713.

Almost surely, 2^1007110225 is an apocalyptic number.

1007110225 is the 31735-th square number.

1007110225 is the 15868-th centered octagonal number.

It is an amenable number.

1007110225 is a deficient number, since it is larger than the sum of its proper divisors (367939136).

1007110225 is an frugal number, since it uses more digits than its factorization.

1007110225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The cubic root of 1007110225 is about 1002.3644798287.

Adding to 1007110225 its reverse (5220117001), we get a palindrome (6227227226).

The spelling of 1007110225 in words is "one billion, seven million, one hundred ten thousand, two hundred twenty-five".