506925225 has 81 divisors (see below), whose sum is σ = 970545303. Its totient is φ = 252888480.

The previous prime is 506925217. The next prime is 506925247. The reversal of 506925225 is 522529605.

The square root of 506925225 is 22515.

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

It can be written as a sum of positive squares in only one way, i.e., 182493081 + 324432144 = 13509^2 + 18012^2 .

It is not a de Polignac number, because 506925225 - 2³ = 506925217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506925225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6416736 + ... + 6416814.

Almost surely, 2^506925225 is an apocalyptic number.

506925225 is the 22515-th square number.

506925225 is the 11258-th centered octagonal number.

It is an amenable number.

506925225 is a deficient number, since it is larger than the sum of its proper divisors (463620078).

506925225 is a wasteful number, since it uses less digits than its factorization.

506925225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The cubic root of 506925225 is about 797.3481070640.

Multiplying 506925225 by its sum of digits (36), we get a square (18249308100 = 135090²).

The spelling of 506925225 in words is "five hundred six million, nine hundred twenty-five thousand, two hundred twenty-five".