2566164401 has 8 divisors (see below), whose sum is σ = 2604151464. Its totient is φ = 2528254080.

The previous prime is 2566164361. The next prime is 2566164427. The reversal of 2566164401 is 1044616652.

It can be written as a sum of positive squares in 4 ways, for example, as 288966001 + 2277198400 = 16999^2 + 47720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2566164401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2566164101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50015 + ... + 87371.

It is an arithmetic number, because the mean of its divisors is an integer number (325518933).

Almost surely, 2^2566164401 is an apocalyptic number.

It is an amenable number.

2566164401 is a deficient number, since it is larger than the sum of its proper divisors (37987063).

2566164401 is an equidigital number, since it uses as much as digits as its factorization.

2566164401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38371.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2566164401 is about 50657.3232711718. The cubic root of 2566164401 is about 1369.0778956698.

The spelling of 2566164401 in words is "two billion, five hundred sixty-six million, one hundred sixty-four thousand, four hundred one".