2581008126041 has 2 divisors, whose sum is σ = 2581008126042. Its totient is φ = 2581008126040.

The previous prime is 2581008126029. The next prime is 2581008126049. The reversal of 2581008126041 is 1406218001852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2137505404441 + 443502721600 = 1462021^2 + 665960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581008126041 - 2¹⁴ = 2581008109657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2581008125986 and 2581008126004.

It is not a weakly prime, because it can be changed into another prime (2581008126049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290504063020 + 1290504063021.

It is an arithmetic number, because the mean of its divisors is an integer number (1290504063021).

Almost surely, 2^{2581008126041} is an apocalyptic number.

It is an amenable number.

2581008126041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581008126041 is an equidigital number, since it uses as much as digits as its factorization.

2581008126041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 2581008126041 in words is "two trillion, five hundred eighty-one billion, eight million, one hundred twenty-six thousand, forty-one".