2538642048601 has 2 divisors, whose sum is σ = 2538642048602. Its totient is φ = 2538642048600.

The previous prime is 2538642048541. The next prime is 2538642048737. The reversal of 2538642048601 is 1068402468352.

2538642048601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1686943782976 + 851698265625 = 1298824^2 + 922875^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538642048601 - 2²³ = 2538633659993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2538642048001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269321024300 + 1269321024301.

It is an arithmetic number, because the mean of its divisors is an integer number (1269321024301).

Almost surely, 2^{2538642048601} is an apocalyptic number.

It is an amenable number.

2538642048601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538642048601 is an equidigital number, since it uses as much as digits as its factorization.

2538642048601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 2538642048601 in words is "two trillion, five hundred thirty-eight billion, six hundred forty-two million, forty-eight thousand, six hundred one".