2561413982129 has 2 divisors, whose sum is σ = 2561413982130. Its totient is φ = 2561413982128.

The previous prime is 2561413982069. The next prime is 2561413982213. The reversal of 2561413982129 is 9212893141652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2146658661904 + 414755320225 = 1465148^2 + 644015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561413982129 - 2³⁶ = 2492694505393 is a prime.

It is a super-2 number, since 2×2561413982129² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2561413988129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280706991064 + 1280706991065.

It is an arithmetic number, because the mean of its divisors is an integer number (1280706991065).

Almost surely, 2^{2561413982129} is an apocalyptic number.

It is an amenable number.

2561413982129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561413982129 is an equidigital number, since it uses as much as digits as its factorization.

2561413982129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 53.

The spelling of 2561413982129 in words is "two trillion, five hundred sixty-one billion, four hundred thirteen million, nine hundred eighty-two thousand, one hundred twenty-nine".