17828925625 has 75 divisors (see below), whose sum is σ = 26231283771. Its totient is φ = 12113388000.

The previous prime is 17828925613. The next prime is 17828925649. The reversal of 17828925625 is 52652982871.

The square root of 17828925625 is 133525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10357743529 + 7471182096 = 101773^2 + 86436^2 .

It is not a de Polignac number, because 17828925625 - 2¹⁷ = 17828794553 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, 163568071 + ... + 163568179.

Almost surely, 2^17828925625 is an apocalyptic number.

17828925625 is the 133525-th square number.

17828925625 is the 66763-rd centered octagonal number.

It is an amenable number.

17828925625 is a deficient number, since it is larger than the sum of its proper divisors (8402358146).

17828925625 is an frugal number, since it uses more digits than its factorization.

17828925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 121 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 55.

The spelling of 17828925625 in words is "seventeen billion, eight hundred twenty-eight million, nine hundred twenty-five thousand, six hundred twenty-five".