2000013757757 has 2 divisors, whose sum is σ = 2000013757758. Its totient is φ = 2000013757756.

The previous prime is 2000013757747. The next prime is 2000013757771. The reversal of 2000013757757 is 7577573100002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1645424473081 + 354589284676 = 1282741^2 + 595474^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000013757757 - 2¹⁶ = 2000013692221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000013757727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000006878878 + 1000006878879.

It is an arithmetic number, because the mean of its divisors is an integer number (1000006878879).

Almost surely, 2^{2000013757757} is an apocalyptic number.

It is an amenable number.

2000013757757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000013757757 is an equidigital number, since it uses as much as digits as its factorization.

2000013757757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360150, while the sum is 44.

Adding to 2000013757757 its reverse (7577573100002), we get a palindrome (9577586857759).

The spelling of 2000013757757 in words is "two trillion, thirteen million, seven hundred fifty-seven thousand, seven hundred fifty-seven".