2590051820801 has 2 divisors, whose sum is σ = 2590051820802. Its totient is φ = 2590051820800.

The previous prime is 2590051820771. The next prime is 2590051820827. The reversal of 2590051820801 is 1080281500952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1428562800625 + 1161489020176 = 1195225^2 + 1077724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590051820801 - 2¹⁸ = 2590051558657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2590051820501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295025910400 + 1295025910401.

It is an arithmetic number, because the mean of its divisors is an integer number (1295025910401).

Almost surely, 2^{2590051820801} is an apocalyptic number.

It is an amenable number.

2590051820801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590051820801 is an equidigital number, since it uses as much as digits as its factorization.

2590051820801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 2590051820801 in words is "two trillion, five hundred ninety billion, fifty-one million, eight hundred twenty thousand, eight hundred one".