2005506243121 has 2 divisors, whose sum is σ = 2005506243122. Its totient is φ = 2005506243120.

The previous prime is 2005506243077. The next prime is 2005506243137. The reversal of 2005506243121 is 1213426055002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1957089081600 + 48417161521 = 1398960^2 + 220039^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005506243121 - 2²⁹ = 2004969372209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005506243821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002753121560 + 1002753121561.

It is an arithmetic number, because the mean of its divisors is an integer number (1002753121561).

Almost surely, 2^{2005506243121} is an apocalyptic number.

It is an amenable number.

2005506243121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005506243121 is an equidigital number, since it uses as much as digits as its factorization.

2005506243121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 2005506243121 in words is "two trillion, five billion, five hundred six million, two hundred forty-three thousand, one hundred twenty-one".