10505257 has 12 divisors (see below), whose sum is σ = 12281220. Its totient is φ = 8959776.

The previous prime is 10505207. The next prime is 10505263. The reversal of 10505257 is 75250501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 7958041 = 1596^2 + 2821^2 .

It is not a de Polignac number, because 10505257 - 2⁷ = 10505129 is a prime.

It is a super-2 number, since 2×10505257² = 220720849272098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12783 + ... + 13579.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 2^10505257 is an apocalyptic number.

It is an amenable number.

10505257 is a deficient number, since it is larger than the sum of its proper divisors (1775963).

10505257 is an equidigital number, since it uses as much as digits as its factorization.

10505257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 10505257 is about 3241.1814204083. The cubic root of 10505257 is about 219.0124955513.

Adding to 10505257 its reverse (75250501), we get a palindrome (85755758).

The spelling of 10505257 in words is "ten million, five hundred five thousand, two hundred fifty-seven".