82088553121 has 9 divisors (see below), whose sum is σ = 85819686771. Its totient is φ = 78513182352.

The previous prime is 82088553119. The next prime is 82088553137. The reversal of 82088553121 is 12135588028.

The square root of 82088553121 is 286511.

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., 67607800225 + 14480752896 = 260015^2 + 120336^2 .

It is not a de Polignac number, because 82088553121 - 2¹ = 82088553119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82088553221) 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, 6583525 + ... + 6595981.

Almost surely, 2^82088553121 is an apocalyptic number.

82088553121 is the 286511-st square number.

82088553121 is the 143256-th centered octagonal number.

It is an amenable number.

82088553121 is a deficient number, since it is larger than the sum of its proper divisors (3731133650).

82088553121 is an frugal number, since it uses more digits than its factorization.

82088553121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24960 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

It can be divided in two parts, 82088 and 553121, that added together give a square (635209 = 797²).

The spelling of 82088553121 in words is "eighty-two billion, eighty-eight million, five hundred fifty-three thousand, one hundred twenty-one".