2561343010201 has 4 divisors (see below), whose sum is σ = 2643966978304. Its totient is φ = 2478719042100.

The previous prime is 2561343010183. The next prime is 2561343010267. The reversal of 2561343010201 is 1020103431652.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2561343010201 - 2¹⁷ = 2561342879129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2561343010201.

It is not an unprimeable number, because it can be changed into a prime (2561343610201) 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, 41311984005 + ... + 41311984066.

It is an arithmetic number, because the mean of its divisors is an integer number (660991744576).

Almost surely, 2^{2561343010201} is an apocalyptic number.

It is an amenable number.

2561343010201 is a deficient number, since it is larger than the sum of its proper divisors (82623968103).

2561343010201 is an equidigital number, since it uses as much as digits as its factorization.

2561343010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82623968102.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 2561343010201 its reverse (1020103431652), we get a palindrome (3581446441853).

The spelling of 2561343010201 in words is "two trillion, five hundred sixty-one billion, three hundred forty-three million, ten thousand, two hundred one".