903003570225 has 63 divisors (see below), whose sum is σ = 1679057190363. Its totient is φ = 481533485040.

The previous prime is 903003570223. The next prime is 903003570269. The reversal of 903003570225 is 522075300309.

The square root of 903003570225 is 950265.

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., 325081285281 + 577922284944 = 570159^2 + 760212^2 .

It is not a de Polignac number, because 903003570225 - 2¹ = 903003570223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 903003570225.

It is not an unprimeable number, because it can be changed into a prime (903003570223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 128282256 + ... + 128289294.

Almost surely, 2^903003570225 is an apocalyptic number.

903003570225 is the 950265-th square number.

903003570225 is the 475133-rd centered octagonal number.

It is an amenable number.

903003570225 is a deficient number, since it is larger than the sum of its proper divisors (776053620138).

903003570225 is an frugal number, since it uses more digits than its factorization.

903003570225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Multiplying 903003570225 by its sum of digits (36), we get a square (32508128528100 = 5701590²).

The spelling of 903003570225 in words is "nine hundred three billion, three million, five hundred seventy thousand, two hundred twenty-five".