10523253 has 16 divisors (see below), whose sum is σ = 15434496. Its totient is φ = 6336960.

The previous prime is 10523251. The next prime is 10523329. The reversal of 10523253 is 35232501.

10523253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10523253 - 2¹ = 10523251 is a prime.

It is a super-2 number, since 2×10523253² = 221477707404018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523251) 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, 1038 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (964656).

Almost surely, 2^10523253 is an apocalyptic number.

10523253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10523253 is a deficient number, since it is larger than the sum of its proper divisors (4911243).

10523253 is a wasteful number, since it uses less digits than its factorization.

10523253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 10523253 is about 3243.9563807178. The cubic root of 10523253 is about 219.1374837814.

Adding to 10523253 its reverse (35232501), we get a palindrome (45755754).

The spelling of 10523253 in words is "ten million, five hundred twenty-three thousand, two hundred fifty-three".