285821752129 has 9 divisors (see below), whose sum is σ = 289117446627. Its totient is φ = 282563224944.

The previous prime is 285821752121. The next prime is 285821752141. The reversal of 285821752129 is 921257128582.

It is a happy number.

The square root of 285821752129 is 534623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54883838529 + 230937913600 = 234273^2 + 480560^2 .

It is not a de Polignac number, because 285821752129 - 2³ = 285821752121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285821752121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47578444 + ... + 47584450.

Almost surely, 2^285821752129 is an apocalyptic number.

285821752129 is the 534623-rd square number.

285821752129 is the 267312-nd centered octagonal number.

It is an amenable number.

285821752129 is a deficient number, since it is larger than the sum of its proper divisors (3295694498).

285821752129 is an frugal number, since it uses more digits than its factorization.

285821752129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 6096 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 52.

The spelling of 285821752129 in words is "two hundred eighty-five billion, eight hundred twenty-one million, seven hundred fifty-two thousand, one hundred twenty-nine".