20828262401 has 4 divisors (see below), whose sum is σ = 20854008900. Its totient is φ = 20802515904.

The previous prime is 20828262397. The next prime is 20828262431. The reversal of 20828262401 is 10426282802.

It is a Cunningham number, because it is equal to 144320²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18333160000 + 2495102401 = 135400^2 + 49951^2 .

It is a cyclic number.

It is not a de Polignac number, because 20828262401 - 2² = 20828262397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20828262431) 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 3 ways as a sum of consecutive naturals, for example, 12872036 + ... + 12873653.

It is an arithmetic number, because the mean of its divisors is an integer number (5213502225).

Almost surely, 2^20828262401 is an apocalyptic number.

It is an amenable number.

20828262401 is a deficient number, since it is larger than the sum of its proper divisors (25746499).

20828262401 is an equidigital number, since it uses as much as digits as its factorization.

20828262401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746498.

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 20828262401 in words is "twenty billion, eight hundred twenty-eight million, two hundred sixty-two thousand, four hundred one".