8256827401 has 16 divisors (see below), whose sum is σ = 8594496000. Its totient is φ = 7923801600.

The previous prime is 8256827387. The next prime is 8256827417. The reversal of 8256827401 is 1047286528.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8256827401 - 2¹³ = 8256819209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8256827101) 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, 3966681 + ... + 3968761.

It is an arithmetic number, because the mean of its divisors is an integer number (537156000).

Almost surely, 2^8256827401 is an apocalyptic number.

It is an amenable number.

8256827401 is a deficient number, since it is larger than the sum of its proper divisors (337668599).

8256827401 is a wasteful number, since it uses less digits than its factorization.

8256827401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120.

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 8256827401 is about 90867.0864559880. The cubic root of 8256827401 is about 2021.1772539173.

The spelling of 8256827401 in words is "eight billion, two hundred fifty-six million, eight hundred twenty-seven thousand, four hundred one".