2561001466001 has 16 divisors (see below), whose sum is σ = 2802466695168. Its totient is φ = 2320980248400.

The previous prime is 2561001465983. The next prime is 2561001466091. The reversal of 2561001466001 is 1006641001652.

It is a de Polignac number, because none of the positive numbers 2^k-2561001466001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561001466091) 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 15 ways as a sum of consecutive naturals, for example, 18523736 + ... + 18661478.

It is an arithmetic number, because the mean of its divisors is an integer number (175154168448).

Almost surely, 2^{2561001466001} is an apocalyptic number.

It is an amenable number.

2561001466001 is a deficient number, since it is larger than the sum of its proper divisors (241465229167).

2561001466001 is a wasteful number, since it uses less digits than its factorization.

2561001466001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142972.

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 2561001466001 its reverse (1006641001652), we get a palindrome (3567642467653).

The spelling of 2561001466001 in words is "two trillion, five hundred sixty-one billion, one million, four hundred sixty-six thousand, one".