825513 has 16 divisors (see below), whose sum is σ = 1208256. Its totient is φ = 498240.

The previous prime is 825509. The next prime is 825527. The reversal of 825513 is 315528.

It is not a de Polignac number, because 825513 - 2² = 825509 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825513.

It is not an unprimeable number, because it can be changed into a prime (825533) 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, 2206 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (75516).

2⁸²⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

825513 is a deficient number, since it is larger than the sum of its proper divisors (382743).

825513 is a wasteful number, since it uses less digits than its factorization.

825513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its digits is 1200, while the sum is 24.

The square root of 825513 is about 908.5774595487. The cubic root of 825513 is about 93.8083086158.

The spelling of 825513 in words is "eight hundred twenty-five thousand, five hundred thirteen".