2561413932131 has 2 divisors, whose sum is σ = 2561413932132. Its totient is φ = 2561413932130.

The previous prime is 2561413932047. The next prime is 2561413932137. The reversal of 2561413932131 is 1312393141652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2561413932131 - 2¹⁴ = 2561413915747 is a prime.

It is a super-2 number, since 2×2561413932131² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2561413932137) 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 as a sum of consecutive naturals, namely, 1280706966065 + 1280706966066.

It is an arithmetic number, because the mean of its divisors is an integer number (1280706966066).

Almost surely, 2^{2561413932131} is an apocalyptic number.

2561413932131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561413932131 is an equidigital number, since it uses as much as digits as its factorization.

2561413932131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 116640, while the sum is 41.

The spelling of 2561413932131 in words is "two trillion, five hundred sixty-one billion, four hundred thirteen million, nine hundred thirty-two thousand, one hundred thirty-one".