2588506630049 has 2 divisors, whose sum is σ = 2588506630050. Its totient is φ = 2588506630048.

The previous prime is 2588506629991. The next prime is 2588506630111. The reversal of 2588506630049 is 9400366058852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2236050687649 + 352455942400 = 1495343^2 + 593680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2588506630049 - 2²⁴ = 2588489852833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2588506629976 and 2588506630003.

It is not a weakly prime, because it can be changed into another prime (2588506630649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294253315024 + 1294253315025.

It is an arithmetic number, because the mean of its divisors is an integer number (1294253315025).

Almost surely, 2^{2588506630049} is an apocalyptic number.

It is an amenable number.

2588506630049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2588506630049 is an equidigital number, since it uses as much as digits as its factorization.

2588506630049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12441600, while the sum is 56.

The spelling of 2588506630049 in words is "two trillion, five hundred eighty-eight billion, five hundred six million, six hundred thirty thousand, forty-nine".