12772390225 has 27 divisors (see below), whose sum is σ = 18429228657. Its totient is φ = 8755498080.

The previous prime is 12772390217. The next prime is 12772390249. The reversal of 12772390225 is 52209327721.

It is a happy number.

The square root of 12772390225 is 113015.

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 1475251281 + 11297138944 = 38409^2 + 106288^2 .

It is not a de Polignac number, because 12772390225 - 2³ = 12772390217 is a prime.

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, 3953911 + ... + 3957139.

Almost surely, 2^12772390225 is an apocalyptic number.

12772390225 is the 113015-th square number.

12772390225 is the 56508-th centered octagonal number.

It is an amenable number.

12772390225 is a deficient number, since it is larger than the sum of its proper divisors (5656838432).

12772390225 is an frugal number, since it uses more digits than its factorization.

12772390225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 12772390225 in words is "twelve billion, seven hundred seventy-two million, three hundred ninety thousand, two hundred twenty-five".