10505253 has 16 divisors (see below), whose sum is σ = 15336000. Its totient is φ = 6343680.

The previous prime is 10505207. The next prime is 10505263. The reversal of 10505253 is 35250501.

It is not a de Polignac number, because 10505253 - 2¹³ = 10497061 is a prime.

It is a super-2 number, since 2×10505253² = 220720681188018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14463 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 2^10505253 is an apocalyptic number.

It is an amenable number.

10505253 is a deficient number, since it is larger than the sum of its proper divisors (4830747).

10505253 is a wasteful number, since it uses less digits than its factorization.

10505253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 10505253 is about 3241.1808033493. The cubic root of 10505253 is about 219.0124677542.

Adding to 10505253 its reverse (35250501), we get a palindrome (45755754).

The spelling of 10505253 in words is "ten million, five hundred five thousand, two hundred fifty-three".