825013 has 12 divisors (see below), whose sum is σ = 974700. Its totient is φ = 696192.

The previous prime is 825007. The next prime is 825017. The reversal of 825013 is 310528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 777924 = 217^2 + 882^2 .

It is not a de Polignac number, because 825013 - 2⁵ = 824981 is a prime.

It is a Duffinian 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 (825017) 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 11 ways as a sum of consecutive naturals, for example, 5463 + ... + 5611.

It is an arithmetic number, because the mean of its divisors is an integer number (81225).

2⁸²⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

825013 is a deficient number, since it is larger than the sum of its proper divisors (149687).

825013 is a wasteful number, since it uses less digits than its factorization.

825013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 825013 is about 908.3022624655. The cubic root of 825013 is about 93.7893653942.

The spelling of 825013 in words is "eight hundred twenty-five thousand, thirteen".