305375625 has 45 divisors (see below), whose sum is σ = 553572019. Its totient is φ = 162168000.

The previous prime is 305375617. The next prime is 305375627. The reversal of 305375625 is 526573503.

The square root of 305375625 is 17475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 295186761 + 10188864 = 17181^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 305375625 - 2³ = 305375617 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 305375625.

It is not an unprimeable number, because it can be changed into a prime (305375627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1310509 + ... + 1310741.

Almost surely, 2^305375625 is an apocalyptic number.

305375625 is the 17475-th square number.

305375625 is the 8738-th centered octagonal number.

It is an amenable number.

305375625 is a deficient number, since it is larger than the sum of its proper divisors (248196394).

305375625 is an frugal number, since it uses more digits than its factorization.

305375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The cubic root of 305375625 is about 673.4077697392.

Multiplying 305375625 by its sum of digits (36), we get a square (10993522500 = 104850²).

The spelling of 305375625 in words is "three hundred five million, three hundred seventy-five thousand, six hundred twenty-five".