1262736225 has 81 divisors (see below), whose sum is σ = 2387488467. Its totient is φ = 637924320.

The previous prime is 1262736199. The next prime is 1262736247. The reversal of 1262736225 is 5226372621.

The square root of 1262736225 is 35535.

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

1262736225 is a `hidden beast` number, since 1 + 2 + 6 + 27 + 3 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 454585041 + 808151184 = 21321^2 + 28428^2 .

It is not a de Polignac number, because 1262736225 - 2²⁹ = 725865313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1262736225.

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, 12259524 + ... + 12259626.

Almost surely, 2^1262736225 is an apocalyptic number.

1262736225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1262736225 is the 35535-th square number.

1262736225 is the 17768-th centered octagonal number.

It is an amenable number.

1262736225 is a deficient number, since it is larger than the sum of its proper divisors (1124752242).

1262736225 is a wasteful number, since it uses less digits than its factorization.

1262736225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 1262736225 is about 1080.8635711332.

Multiplying 1262736225 by its sum of digits (36), we get a square (45458504100 = 213210²).

The spelling of 1262736225 in words is "one billion, two hundred sixty-two million, seven hundred thirty-six thousand, two hundred twenty-five".