82578080401 has 2 divisors, whose sum is σ = 82578080402. Its totient is φ = 82578080400.

The previous prime is 82578080399. The next prime is 82578080411. The reversal of 82578080401 is 10408087528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80316126801 + 2261953600 = 283401^2 + 47560^2 .

It is a cyclic number.

It is not a de Polignac number, because 82578080401 - 2¹ = 82578080399 is a prime.

Together with 82578080399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82578080411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41289040200 + 41289040201.

It is an arithmetic number, because the mean of its divisors is an integer number (41289040201).

Almost surely, 2^82578080401 is an apocalyptic number.

It is an amenable number.

82578080401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82578080401 is an equidigital number, since it uses as much as digits as its factorization.

82578080401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 82578080401 in words is "eighty-two billion, five hundred seventy-eight million, eighty thousand, four hundred one".