825253 has 16 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 665280.

The previous prime is 825247. The next prime is 825259. The reversal of 825253 is 352528.

It is an interprime number because it is at equal distance from previous prime (825247) and next prime (825259).

It is not a de Polignac number, because 825253 - 2⁹ = 824741 is a prime.

It is a Duffinian number.

825253 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825259) 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 15 ways as a sum of consecutive naturals, for example, 4048 + ... + 4246.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2⁸²⁵²⁵³ is an apocalyptic number.

It is an amenable number.

825253 is a deficient number, since it is larger than the sum of its proper divisors (182747).

825253 is a wasteful number, since it uses less digits than its factorization.

825253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its digits is 2400, while the sum is 25.

The square root of 825253 is about 908.4343674697. The cubic root of 825253 is about 93.7984590955.

It can be divided in two parts, 82525 and 3, that added together give a palindrome (82528).

The spelling of 825253 in words is "eight hundred twenty-five thousand, two hundred fifty-three".