825218523 has 16 divisors (see below), whose sum is σ = 1237642400. Its totient is φ = 550144224.

The previous prime is 825218509. The next prime is 825218549. The reversal of 825218523 is 325812528.

825218523 is a `hidden beast` number, since 82 + 52 + 1 + 8 + 523 = 666.

It is not a de Polignac number, because 825218523 - 2⁵ = 825218491 is a prime.

It is a super-2 number, since 2×825218523² = 1361971221404603058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825218123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186478 + ... + 190851.

It is an arithmetic number, because the mean of its divisors is an integer number (77352650).

Almost surely, 2^825218523 is an apocalyptic number.

825218523 is a deficient number, since it is larger than the sum of its proper divisors (412423877).

825218523 is an frugal number, since it uses more digits than its factorization.

825218523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377350 (or 377332 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 825218523 is about 28726.6169779875. The cubic root of 825218523 is about 937.9715285584.

The spelling of 825218523 in words is "eight hundred twenty-five million, two hundred eighteen thousand, five hundred twenty-three".