1294920225 has 27 divisors (see below), whose sum is σ = 2320313203. Its totient is φ = 690336240.

The previous prime is 1294920173. The next prime is 1294920229. The reversal of 1294920225 is 5220294921.

The square root of 1294920225 is 35985.

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

It can be written as a sum of positive squares in only one way, i.e., 466171281 + 828748944 = 21591^2 + 28788^2 .

It is not a de Polignac number, because 1294920225 - 2²¹ = 1292823073 is a prime.

It is a super-2 number, since 2×1294920225² = 3353636778228101250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1294920225.

It is not an unprimeable number, because it can be changed into a prime (1294920229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538576 + ... + 540974.

Almost surely, 2^1294920225 is an apocalyptic number.

1294920225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1294920225 is the 35985-th square number.

1294920225 is the 17993-rd centered octagonal number.

It is an amenable number.

1294920225 is a deficient number, since it is larger than the sum of its proper divisors (1025392978).

1294920225 is an frugal number, since it uses more digits than its factorization.

1294920225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 1294920225 is about 1089.9694812318.

Multiplying 1294920225 by its sum of digits (36), we get a square (46617128100 = 215910²).

The spelling of 1294920225 in words is "one billion, two hundred ninety-four million, nine hundred twenty thousand, two hundred twenty-five".