7735727601013 has 2 divisors, whose sum is σ = 7735727601014. Its totient is φ = 7735727601012.

The previous prime is 7735727600987. The next prime is 7735727601047. The reversal of 7735727601013 is 3101067275377.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7716711742609 + 19015858404 = 2777897^2 + 137898^2 .

It is a cyclic number.

It is not a de Polignac number, because 7735727601013 - 2⁵ = 7735727600981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7735725601013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3867863800506 + 3867863800507.

It is an arithmetic number, because the mean of its divisors is an integer number (3867863800507).

Almost surely, 2^{7735727601013} is an apocalyptic number.

It is an amenable number.

7735727601013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7735727601013 is an equidigital number, since it uses as much as digits as its factorization.

7735727601013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296540, while the sum is 49.

The spelling of 7735727601013 in words is "seven trillion, seven hundred thirty-five billion, seven hundred twenty-seven million, six hundred one thousand, thirteen".