2566106401 has 8 divisors (see below), whose sum is σ = 2638477800. Its totient is φ = 2494200960.

The previous prime is 2566106381. The next prime is 2566106407. The reversal of 2566106401 is 1046016652.

2566106401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 275526801 + 2290579600 = 16599^2 + 47860^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2566106401 - 2⁷ = 2566106273 is a prime.

It is a super-2 number, since 2×2566106401² = 13169804122506345602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2566106407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105306 + ... + 127363.

It is an arithmetic number, because the mean of its divisors is an integer number (329809725).

Almost surely, 2^2566106401 is an apocalyptic number.

It is an amenable number.

2566106401 is a deficient number, since it is larger than the sum of its proper divisors (72371399).

2566106401 is a wasteful number, since it uses less digits than its factorization.

2566106401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232979.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2566106401 is about 50656.7507939465. The cubic root of 2566106401 is about 1369.0675810389.

The spelling of 2566106401 in words is "two billion, five hundred sixty-six million, one hundred six thousand, four hundred one".