538500257 has 18 divisors (see below), whose sum is σ = 567969318. Its totient is φ = 510507648.

The previous prime is 538500247. The next prime is 538500293. The reversal of 538500257 is 752005835.

It can be written as a sum of positive squares in 3 ways, for example, as 133726096 + 404774161 = 11564^2 + 20119^2 .

It is not a de Polignac number, because 538500257 - 2⁴ = 538500241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538500227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4765433 + ... + 4765545.

It is an arithmetic number, because the mean of its divisors is an integer number (31553851).

Almost surely, 2^538500257 is an apocalyptic number.

It is an amenable number.

538500257 is a deficient number, since it is larger than the sum of its proper divisors (29469061).

538500257 is an equidigital number, since it uses as much as digits as its factorization.

538500257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 538500257 is about 23205.6083091997. The cubic root of 538500257 is about 813.5707102788.

The spelling of 538500257 in words is "five hundred thirty-eight million, five hundred thousand, two hundred fifty-seven".