903573819225 has 243 divisors, whose sum is σ = 2071854390879. Its totient is φ = 375054926400.

The previous prime is 903573819191. The next prime is 903573819229. The reversal of 903573819225 is 522918375309.

The square root of 903573819225 is 950565.

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

903573819225 is a `hidden beast` number, since 9 + 0 + 35 + 7 + 381 + 9 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325286574921 + 578287244304 = 570339^2 + 760452^2 .

It is not a de Polignac number, because 903573819225 - 2⁷ = 903573819097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (903573819229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1097902164 + ... + 1097902986.

Almost surely, 2^903573819225 is an apocalyptic number.

903573819225 is the 950565-th square number.

903573819225 is the 475283-rd centered octagonal number.

It is an amenable number.

903573819225 is an abundant number, since it is smaller than the sum of its proper divisors (1168280571654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

903573819225 is a wasteful number, since it uses less digits than its factorization.

903573819225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 903573819225 in words is "nine hundred three billion, five hundred seventy-three million, eight hundred nineteen thousand, two hundred twenty-five".