248535225 has 27 divisors (see below), whose sum is σ = 445578159. Its totient is φ = 132426000.

The previous prime is 248535193. The next prime is 248535241. The reversal of 248535225 is 522535842.

It is a happy number.

The square root of 248535225 is 15765.

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

248535225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89472681 + 159062544 = 9459^2 + 12612^2 .

It is not a de Polignac number, because 248535225 - 2⁵ = 248535193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 248535225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235950 + ... + 237000.

Almost surely, 2^248535225 is an apocalyptic number.

248535225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248535225 is the 15765-th square number.

248535225 is the 7883-rd centered octagonal number.

It is an amenable number.

248535225 is a deficient number, since it is larger than the sum of its proper divisors (197042934).

248535225 is an equidigital number, since it uses as much as digits as its factorization.

248535225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The cubic root of 248535225 is about 628.7277803082.

Multiplying 248535225 by its sum of digits (36), we get a square (8947268100 = 94590²).

The spelling of 248535225 in words is "two hundred forty-eight million, five hundred thirty-five thousand, two hundred twenty-five".