305339130625 has 75 divisors (see below), whose sum is σ = 412157649365. Its totient is φ = 226113690000.

The previous prime is 305339130617. The next prime is 305339130683. The reversal of 305339130625 is 526031933503.

It is a happy number.

The square root of 305339130625 is 552575.

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 23938587841 + 281400542784 = 154721^2 + 530472^2 .

It is not a de Polignac number, because 305339130625 - 2³ = 305339130617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 9849649360 + ... + 9849649390.

Almost surely, 2^305339130625 is an apocalyptic number.

305339130625 is the 552575-th square number.

305339130625 is the 276288-th centered octagonal number.

It is an amenable number.

305339130625 is a deficient number, since it is larger than the sum of its proper divisors (106818518740).

305339130625 is an frugal number, since it uses more digits than its factorization.

305339130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 40.

The spelling of 305339130625 in words is "three hundred five billion, three hundred thirty-nine million, one hundred thirty thousand, six hundred twenty-five".