523825827 has 16 divisors (see below), whose sum is σ = 814502400. Its totient is φ = 299328456.

The previous prime is 523825789. The next prime is 523825829. The reversal of 523825827 is 728528325.

It is not a de Polignac number, because 523825827 - 2⁸ = 523825571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (523825829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253503 + ... + 255560.

It is an arithmetic number, because the mean of its divisors is an integer number (50906400).

Almost surely, 2^523825827 is an apocalyptic number.

523825827 is a deficient number, since it is larger than the sum of its proper divisors (290676573).

523825827 is an equidigital number, since it uses as much as digits as its factorization.

523825827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509087 (or 509073 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 523825827 is about 22887.2415769135. The cubic root of 523825827 is about 806.1124631926.

The spelling of 523825827 in words is "five hundred twenty-three million, eight hundred twenty-five thousand, eight hundred twenty-seven".