517790025 has 81 divisors (see below), whose sum is σ = 976977183. Its totient is φ = 262137600.

The previous prime is 517789999. The next prime is 517790027. The reversal of 517790025 is 520097715.

The square root of 517790025 is 22755.

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 383415561 + 134374464 = 19581^2 + 11592^2 .

It is not a de Polignac number, because 517790025 - 2¹⁹ = 517265737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (517790027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12629005 + ... + 12629045.

Almost surely, 2^517790025 is an apocalyptic number.

517790025 is the 22755-th square number.

517790025 is the 11378-th centered octagonal number.

It is an amenable number.

517790025 is a deficient number, since it is larger than the sum of its proper divisors (459187158).

517790025 is a wasteful number, since it uses less digits than its factorization.

517790025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The cubic root of 517790025 is about 803.0043413138.

Multiplying 517790025 by its sum of digits (36), we get a square (18640440900 = 136530²).

The spelling of 517790025 in words is "five hundred seventeen million, seven hundred ninety thousand, twenty-five".