524801 has 2 divisors, whose sum is σ = 524802. Its totient is φ = 524800.

The previous prime is 524789. The next prime is 524803. The reversal of 524801 is 108425.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 625 = 724^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 524801 - 2¹⁰ = 523777 is a prime.

It is a Sophie Germain prime.

Together with 524803, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 524801 parts by 1024 straight cuts.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 524801.

It is not a weakly prime, because it can be changed into another prime (524803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262400 + 262401.

It is an arithmetic number, because the mean of its divisors is an integer number (262401).

2⁵²⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

524801 is a deficient number, since it is larger than the sum of its proper divisors (1).

524801 is an equidigital number, since it uses as much as digits as its factorization.

524801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 524801 is about 724.4315012477. The cubic root of 524801 is about 80.6612382417.

The spelling of 524801 in words is "five hundred twenty-four thousand, eight hundred one".