1506604225 has 27 divisors (see below), whose sum is σ = 2175161097. Its totient is φ = 1032168480.

The previous prime is 1506604219. The next prime is 1506604237. The reversal of 1506604225 is 5224066051.

The square root of 1506604225 is 38815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 775009921 + 731594304 = 27839^2 + 27048^2 .

It is not a de Polignac number, because 1506604225 - 2³ = 1506604217 is a prime.

It is a Duffinian number.

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, 1357971 + ... + 1359079.

Almost surely, 2^1506604225 is an apocalyptic number.

1506604225 is the 38815-th square number.

1506604225 is the 19408-th centered octagonal number.

It is an amenable number.

1506604225 is a deficient number, since it is larger than the sum of its proper divisors (668556872).

1506604225 is an frugal number, since it uses more digits than its factorization.

1506604225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 1506604225 is about 1146.3917719872.

Multiplying 1506604225 by its product of nonzero digits (14400), we get a square (21695100840000 = 4657800²).

The spelling of 1506604225 in words is "one billion, five hundred six million, six hundred four thousand, two hundred twenty-five".