820503527 has 4 divisors (see below), whose sum is σ = 842679336. Its totient is φ = 798327720.

The previous prime is 820503493. The next prime is 820503533. The reversal of 820503527 is 725305028.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 820503527 - 2²⁸ = 552068071 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 820503493 and 820503502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820503557) 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 3 ways as a sum of consecutive naturals, for example, 11087849 + ... + 11087922.

It is an arithmetic number, because the mean of its divisors is an integer number (210669834).

Almost surely, 2^820503527 is an apocalyptic number.

820503527 is a deficient number, since it is larger than the sum of its proper divisors (22175809).

820503527 is a wasteful number, since it uses less digits than its factorization.

820503527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175808.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 820503527 is about 28644.4327400631. The cubic root of 820503527 is about 936.1817069823.

The spelling of 820503527 in words is "eight hundred twenty million, five hundred three thousand, five hundred twenty-seven".