2551656522161 has 16 divisors (see below), whose sum is σ = 2563996975488. Its totient is φ = 2539346697600.

The previous prime is 2551656522139. The next prime is 2551656522169. The reversal of 2551656522161 is 1612256561552.

It is a cyclic number.

It is not a de Polignac number, because 2551656522161 - 2¹⁴ = 2551656505777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2551656522169) 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, 712552391 + ... + 712555971.

It is an arithmetic number, because the mean of its divisors is an integer number (160249810968).

Almost surely, 2^{2551656522161} is an apocalyptic number.

It is an amenable number.

2551656522161 is a deficient number, since it is larger than the sum of its proper divisors (12340453327).

2551656522161 is a wasteful number, since it uses less digits than its factorization.

2551656522161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952.

The product of its digits is 1080000, while the sum is 47.

The spelling of 2551656522161 in words is "two trillion, five hundred fifty-one billion, six hundred fifty-six million, five hundred twenty-two thousand, one hundred sixty-one".