1265096305225 has 27 divisors (see below), whose sum is σ = 1624887967807. Its totient is φ = 977051862080.

The previous prime is 1265096305183. The next prime is 1265096305237. The reversal of 1265096305225 is 5225036905621.

The square root of 1265096305225 is 1124765.

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 348320694969 + 916775610256 = 590187^2 + 957484^2 .

It is not a de Polignac number, because 1265096305225 - 2²⁷ = 1264962087497 is a prime.

It is a super-2 number, since 2×1265096305225² (a number of 25 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 26 ways as a sum of consecutive naturals, for example, 163087047 + ... + 163094803.

Almost surely, 2^{1265096305225} is an apocalyptic number.

1265096305225 is the 1124765-th square number.

1265096305225 is the 562383-rd centered octagonal number.

It is an amenable number.

1265096305225 is a deficient number, since it is larger than the sum of its proper divisors (359791662582).

1265096305225 is an frugal number, since it uses more digits than its factorization.

1265096305225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15582 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 1265096305225 in words is "one trillion, two hundred sixty-five billion, ninety-six million, three hundred five thousand, two hundred twenty-five".