526801 has 8 divisors (see below), whose sum is σ = 582624. Its totient is φ = 472320.

The previous prime is 526781. The next prime is 526829. The reversal of 526801 is 108625.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 526801 - 2⁹ = 526289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (72828).

2⁵²⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

526801 is a deficient number, since it is larger than the sum of its proper divisors (55823).

526801 is a wasteful number, since it uses less digits than its factorization.

526801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 526801 is about 725.8105813503. The cubic root of 526801 is about 80.7635741605.

The spelling of 526801 in words is "five hundred twenty-six thousand, eight hundred one".