909209925625 has 45 divisors (see below), whose sum is σ = 1164498101481. Its totient is φ = 709651446000.

The previous prime is 909209925607. The next prime is 909209925641. The reversal of 909209925625 is 526529902909.

The square root of 909209925625 is 953525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 71282058169 + 837927867456 = 266987^2 + 915384^2 .

It is not a de Polignac number, because 909209925625 - 2¹³ = 909209917433 is a prime.

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 909209925625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1025038932 + ... + 1025039818.

Almost surely, 2^909209925625 is an apocalyptic number.

909209925625 is the 953525-th square number.

909209925625 is the 476763-rd centered octagonal number.

It is an amenable number.

909209925625 is a deficient number, since it is larger than the sum of its proper divisors (255288175856).

909209925625 is an frugal number, since it uses more digits than its factorization.

909209925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 58.

The spelling of 909209925625 in words is "nine hundred nine billion, two hundred nine million, nine hundred twenty-five thousand, six hundred twenty-five".