8084578001 has 2 divisors, whose sum is σ = 8084578002. Its totient is φ = 8084578000.

The previous prime is 8084577997. The next prime is 8084578003. The reversal of 8084578001 is 1008754808.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6906441025 + 1178136976 = 83105^2 + 34324^2 .

It is a cyclic number.

It is not a de Polignac number, because 8084578001 - 2² = 8084577997 is a prime.

Together with 8084578003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8084578001.

It is not a weakly prime, because it can be changed into another prime (8084578003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042289000 + 4042289001.

It is an arithmetic number, because the mean of its divisors is an integer number (4042289001).

Almost surely, 2^8084578001 is an apocalyptic number.

It is an amenable number.

8084578001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8084578001 is an equidigital number, since it uses as much as digits as its factorization.

8084578001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 8084578001 is about 89914.2814073493. The cubic root of 8084578001 is about 2007.0234732896.

The spelling of 8084578001 in words is "eight billion, eighty-four million, five hundred seventy-eight thousand, one".