820135275 has 24 divisors (see below), whose sum is σ = 1376203584. Its totient is φ = 430874400.

The previous prime is 820135249. The next prime is 820135319. The reversal of 820135275 is 572531028.

It is not a de Polignac number, because 820135275 - 2¹⁰ = 820134251 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76581 + ... + 86630.

It is an arithmetic number, because the mean of its divisors is an integer number (57341816).

Almost surely, 2^820135275 is an apocalyptic number.

820135275 is a deficient number, since it is larger than the sum of its proper divisors (556068309).

820135275 is a wasteful number, since it uses less digits than its factorization.

820135275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163291 (or 163286 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 820135275 is about 28638.0040331026. The cubic root of 820135275 is about 936.0416294309.

The spelling of 820135275 in words is "eight hundred twenty million, one hundred thirty-five thousand, two hundred seventy-five".