80822815002801 has 9 divisors (see below), whose sum is σ = 116744105072491. Its totient is φ = 53881858688232.

The previous prime is 80822815002799. The next prime is 80822815002869. The reversal of 80822815002801 is 10820051822808.

The square root of 80822815002801 is 8990151.

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., 303132830625 + 80519682172176 = 550575^2 + 8973276^2 .

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

It is not a de Polignac number, because 80822815002801 - 2¹ = 80822815002799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80822815002001) 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, 25472095 + ... + 28468811.

Almost surely, 2^{80822815002801} is an apocalyptic number.

80822815002801 is the 8990151-st square number.

80822815002801 is the 4495076-th centered octagonal number.

It is an amenable number.

80822815002801 is a deficient number, since it is larger than the sum of its proper divisors (35921290069690).

80822815002801 is an frugal number, since it uses more digits than its factorization.

80822815002801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993440 (or 2996720 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 80822815002801 in words is "eighty trillion, eight hundred twenty-two billion, eight hundred fifteen million, two thousand, eight hundred one".