29852582841 has 9 divisors (see below), whose sum is σ = 43121146159. Its totient is φ = 19901376336.

The previous prime is 29852582813. The next prime is 29852582899. The reversal of 29852582841 is 14828525892.

The square root of 29852582841 is 172779.

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

29852582841 is a `hidden beast` number, since 2 + 9 + 8 + 52 + 582 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5546525625 + 24306057216 = 74475^2 + 155904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 29852582841 - 2⁹ = 29852582329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29852584841) 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, 489541 + ... + 547133.

Almost surely, 2^29852582841 is an apocalyptic number.

29852582841 is the 172779-th square number.

29852582841 is the 86390-th centered octagonal number.

It is an amenable number.

29852582841 is a deficient number, since it is larger than the sum of its proper divisors (13268563318).

29852582841 is an frugal number, since it uses more digits than its factorization.

29852582841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115192 (or 57596 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 29852582841 in words is "twenty-nine billion, eight hundred fifty-two million, five hundred eighty-two thousand, eight hundred forty-one".