48239533225 has 81 divisors (see below), whose sum is σ = 67548768399. Its totient is φ = 34157635200.

The previous prime is 48239533127. The next prime is 48239533229. The reversal of 48239533225 is 52233593284.

The square root of 48239533225 is 219635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38908746009 + 9330787216 = 197253^2 + 96596^2 .

It is not a de Polignac number, because 48239533225 - 2⁹ = 48239532713 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48239533229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 442564471 + ... + 442564579.

Almost surely, 2^48239533225 is an apocalyptic number.

48239533225 is the 219635-th square number.

48239533225 is the 109818-th centered octagonal number.

It is an amenable number.

48239533225 is a deficient number, since it is larger than the sum of its proper divisors (19309235174).

48239533225 is a wasteful number, since it uses less digits than its factorization.

48239533225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

It can be divided in two parts, 482395 and 33225, that added together give a triangular number (515620 = T₁₀₁₅).

The spelling of 48239533225 in words is "forty-eight billion, two hundred thirty-nine million, five hundred thirty-three thousand, two hundred twenty-five".