83052899721 has 135 divisors (see below), whose sum is σ = 141774486007. Its totient is φ = 48415752000.

The previous prime is 83052899701. The next prime is 83052899759. The reversal of 83052899721 is 12799825038.

The square root of 83052899721 is 288189.

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

83052899721 is a `hidden beast` number, since 8 + 3 + 0 + 528 + 9 + 97 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4001954121 + 79050945600 = 63261^2 + 281160^2 .

It is not a de Polignac number, because 83052899721 - 2¹³ = 83052891529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83052899701) 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 134 ways as a sum of consecutive naturals, for example, 1169759116 + ... + 1169759186.

Almost surely, 2^83052899721 is an apocalyptic number.

83052899721 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

83052899721 is the 288189-th square number.

83052899721 is the 144095-th centered octagonal number.

It is an amenable number.

83052899721 is a deficient number, since it is larger than the sum of its proper divisors (58721586286).

83052899721 is an equidigital number, since it uses as much as digits as its factorization.

83052899721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 83052899721 in words is "eighty-three billion, fifty-two million, eight hundred ninety-nine thousand, seven hundred twenty-one".