80542440001 has 16 divisors (see below), whose sum is σ = 82655204688. Its totient is φ = 78465024000.

The previous prime is 80542439983. The next prime is 80542440019. The reversal of 80542440001 is 10004424508.

It is a Cunningham number, because it is equal to 283800²+1.

It is an interprime number because it is at equal distance from previous prime (80542439983) and next prime (80542440019).

It can be written as a sum of positive squares in 8 ways, for example, as 36166910976 + 44375529025 = 190176^2 + 210655^2 .

It is a 3-Lehmer number, since φ(80542440001) divides (80542440001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 80542440001 - 2²⁹ = 80005569089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80542440091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671121 + ... + 1718641.

It is an arithmetic number, because the mean of its divisors is an integer number (5165950293).

It is a Poulet number, since it divides 2^80542440000-1.

Almost surely, 2^80542440001 is an apocalyptic number.

It is an amenable number.

80542440001 is a deficient number, since it is larger than the sum of its proper divisors (2112764687).

80542440001 is a wasteful number, since it uses less digits than its factorization.

80542440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47892.

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 80542440001 its reverse (10004424508), we get a palindrome (90546864509).

The spelling of 80542440001 in words is "eighty billion, five hundred forty-two million, four hundred forty thousand, one".