820269505 has 32 divisors (see below), whose sum is σ = 1107836928. Its totient is φ = 577886400.

The previous prime is 820269497. The next prime is 820269511. The reversal of 820269505 is 505962028.

It is a happy number.

It is not a de Polignac number, because 820269505 - 2³ = 820269497 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298990 + ... + 301720.

It is an arithmetic number, because the mean of its divisors is an integer number (34619904).

Almost surely, 2^820269505 is an apocalyptic number.

It is an amenable number.

820269505 is a deficient number, since it is larger than the sum of its proper divisors (287567423).

820269505 is a wasteful number, since it uses less digits than its factorization.

820269505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 820269505 is about 28640.3475013834. The cubic root of 820269505 is about 936.0926933702.

The spelling of 820269505 in words is "eight hundred twenty million, two hundred sixty-nine thousand, five hundred five".