2561772246001 has 4 divisors (see below), whose sum is σ = 2571740231652. Its totient is φ = 2551804260352.

The previous prime is 2561772245987. The next prime is 2561772246017. The reversal of 2561772246001 is 1006422771652.

2561772246001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1737126636001 + 824645610000 = 1318001^2 + 908100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561772246001 - 2²⁵ = 2561738691569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561772246301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4983992440 + ... + 4983992953.

It is an arithmetic number, because the mean of its divisors is an integer number (642935057913).

Almost surely, 2^{2561772246001} is an apocalyptic number.

It is an amenable number.

2561772246001 is a deficient number, since it is larger than the sum of its proper divisors (9967985651).

2561772246001 is an equidigital number, since it uses as much as digits as its factorization.

2561772246001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967985650.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 2561772246001 in words is "two trillion, five hundred sixty-one billion, seven hundred seventy-two million, two hundred forty-six thousand, one".