10509325225 has 81 divisors (see below), whose sum is σ = 15856904271. Its totient is φ = 6889008000.

The previous prime is 10509325213. The next prime is 10509325243. The reversal of 10509325225 is 52252390501.

The square root of 10509325225 is 102515.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1020227481 + 9489097744 = 31941^2 + 97412^2 .

It is not a de Polignac number, because 10509325225 - 2³¹ = 8361841577 is a prime.

It is a super-2 number, since 2×10509325225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104052675 + ... + 104052775.

Almost surely, 2^10509325225 is an apocalyptic number.

10509325225 is the 102515-th square number.

10509325225 is the 51258-th centered octagonal number.

It is an amenable number.

10509325225 is a deficient number, since it is larger than the sum of its proper divisors (5347579046).

10509325225 is an equidigital number, since it uses as much as digits as its factorization.

10509325225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 10509325225 in words is "ten billion, five hundred nine million, three hundred twenty-five thousand, two hundred twenty-five".