2506826588221 has 2 divisors, whose sum is σ = 2506826588222. Its totient is φ = 2506826588220.

The previous prime is 2506826588213. The next prime is 2506826588251. The reversal of 2506826588221 is 1228856286052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1857414636900 + 649411951321 = 1362870^2 + 805861^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506826588221 - 2³ = 2506826588213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506826588251) 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, 1253413294110 + 1253413294111.

It is an arithmetic number, because the mean of its divisors is an integer number (1253413294111).

Almost surely, 2^{2506826588221} is an apocalyptic number.

It is an amenable number.

2506826588221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506826588221 is an equidigital number, since it uses as much as digits as its factorization.

2506826588221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 2506826588221 in words is "two trillion, five hundred six billion, eight hundred twenty-six million, five hundred eighty-eight thousand, two hundred twenty-one".